Triangle calculator

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# Triangle calculator Easy to use calculator to solve right triangle problems. Here you can enter two known sides or angles and calculate unknown side ,angle or area. Step-by-step explanations are provided for each calculation.

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I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on mathhelp mathportal. Math Calculators, Lessons and Formulas It is time to solve your math problem. Right triangle calculator. Right Triangle Calculator. Input value you know and select what to compute. Input rwo values you know and select a value you want to calculate. You can input integers 10decimals I want to calculate:.

Input two elements of a right triangle use letter r to input square root. Find selected value. Factoring Polynomials. Rationalize Denominator. Quadratic Equations. Solving with steps. Equilateral Triangle. Unary Operations. System 2x2. Limit Calculator. Arithmetic Sequences.Use this calculator to easily calculate the area of a triangle by the different possible pieces of information.

The formula for the area of a triangle is side x heightas shown in the graph below:. There are different starting measurements from which one can solve a triangle, calculate the length of a side and height to it, and finally calculate a triangle's area.

## Right triangle calculator

There are 4 common rules for solving a triangle, as explained below. The abbreviations denote our starting measurements. Our area of triangle calculator supports the basic formula, these four rules, and the hypothenuse and the length of one of the other sides rule for right-angled triangles only. So, how to calculate the area of a triangle using more advanced rules?

You can solve the whole triangle starting from different sets of measurements:. Some of the above rules rely on the Law of Sines and the Law of Cosines, making it a requirement for you to understand them before you can apply these rules without the help of our area of a triangle calculator. Another rule, supported by our calculator is just for right-angled triangles: if you are given the length of the hypothenuse and one of the other sides, you can easily compute the third side using the Pythagorean theorem, and then use it again to get to one of the heights.

Example 2 : If one side of the triangle is known to be 6 inches in length, and the height perpedincular to it is 4 inches in length, what is the triangle's area? This is a straightforward application of the side and height rule which calls for a simple multiplication of the two, and then a division by two.

## Triangle Theorems Calculator

This task can be resolved using the ASA rule. Obviously using both a tangent calculator and an exponent calculator is quite helpful.

There reference lines are established using the rule.

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If you want to know how long a ladder should be so it can reach a given height at a given angle with the ground. Steel and wooden structures like houses, bridges, warehouses, etc.

More advanced applications are crucial to surveying and GPS triangulation. Mobile network operators can establish your location by triangulating your signal using 3 or more base towers which are in range.

Flight paths of planes also require triangle calculations. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G. Calculators Converters Randomizers Articles Search. Area of a Triangle Calculator Use this calculator to easily calculate the area of a triangle by the different possible pieces of information.Please provide 2 values below to calculate the other values of a right triangle.

Right triangles, and the relationships between their sides and angles, are the basis of trigonometry. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides. The altitude divides the original triangle into two smaller, similar triangles that are also similar to the original triangle. If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle.

In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc.

Area and perimeter of a right triangle are calculated in the same way as any other triangle.

### Triangle Calculator

The perimeter is the sum of the three sides of the triangle and the area can be determined using the following equation:. Thus, in this type of triangle, if the length of one side and the side's corresponding angle is known, the length of the other sides can be determined using the above ratio. Financial Fitness and Health Math Other.Please provide 3 values including at least one side to the following 6 fields, and click the "Calculate" button.

A triangle is a polygon that has three vertices. A vertex is a point where two or more curves, lines, or edges meet; in the case of a triangle, the three vertices are joined by three line segments called edges.

### Triangles Calculator

A triangle is usually referred to by its vertices. Furthermore, triangles tend to be described based on the length of their sides, as well as their internal angles.

For example, a triangle in which all three sides have equal lengths is called an equilateral triangle while a triangle in which two sides have equal lengths is called isosceles. When none of the sides of a triangle have equal lengths, it is referred to as scalene, as depicted below. Tick marks on an edge of a triangle are a common notation that reflects the length of the side, where the same number of ticks means equal length.

Similar notation exists for the internal angles of a triangle, denoted by differing numbers of concentric arcs located at the triangle's vertices. As can be seen from the triangles above, the length and internal angles of a triangle are directly related, so it makes sense that an equilateral triangle has three equal internal angles, and three equal length sides.

Note that the triangle provided in the calculator is not shown to scale; while it looks equilateral and has angle markings that typically would be read as equalit is not necessarily equilateral and is simply a representation of a triangle.

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When actual values are entered, the calculator output will reflect what the shape of the input triangle should look like. Triangles classified based on their internal angles fall into two categories: right or oblique. The longest edge of a right triangle, which is the edge opposite the right angle, is called the hypotenuse. Any triangle that is not a right triangle is classified as an oblique triangle and can either be obtuse or acute.

There are multiple different equations for calculating the area of a triangle, dependent on what information is known. Likely the most commonly known equation for calculating the area of a triangle involves its base, band height, h. The "base" refers to any side of the triangle where the height is represented by the length of the line segment drawn from the vertex opposite the base, to a point on the base that forms a perpendicular. Given the length of two sides and the angle between them, the following formula can be used to determine the area of the triangle.

Note that the variables used are in reference to the triangle shown in the calculator above. Another method for calculating the area of a triangle uses Heron's formula. Unlike the previous equations, Heron's formula does not require an arbitrary choice of a side as a base, or a vertex as an origin. However, it does require that the lengths of the three sides are known.Each calculation option, shown below, has sub-bullets that list the sequence of methods used in this calculator to solve for unknown angle and side values including Sum of Angles in a Triangle, Law of Sines and Law of Cosines.

Specifying the three angles of a triangle does not uniquely identify one triangle. Therefore, specifying two angles of a tringle allows you to calculate the third angle only. Given the sizes of 2 angles of a triangle you can calculate the size of the third angle.

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides. Given the size of 2 angles and the size of the side that is in between those 2 angles you can calculate the sizes of the remaining 1 angle and 2 sides. Given the size of 2 sides c and a and the size of the angle B that is in between those 2 sides you can calculate the sizes of the remaining 1 side and 2 angles. Given the sizes of the 3 sides you can calculate the sizes of all 3 angles in the triangle.

If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:. If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:.

ASS Theorem. Zwillinger, Daniel Editor-in-Chief. Weisstein, Eric W. Triangle Properties. Math is Fun at Solving Triangles. Basic Calculator. Triangle Theorems Calculator. Triangle Image.

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Angle Units degrees radians. Significant Figures auto 3 4 5 6 7 8 9. Get a Widget for this Calculator. Follow CalculatorSoup:.The calculator will also solve for the area of the triangle, the perimeter, the semi-perimeter, the radius of the circumcircle and the inscribed circle, the medians, and the heights.

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Plus, unlike other online triangle calculators, this calculator will show its work by detailing each of the steps it took to solve the formulas for finding the missing values. Finally, the triangle calculator will also calculate the coordinates of the vertices, the centroid, and the circumcenter, and draw the solved triangle based on those coordinates requires latest version of your web browser software. A Data Record is a set of calculator entries that are stored in your web browser's Local Storage.

If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None". Select how many decimal places you would like the result rounded to. Note that you can change the number of places before or after solving the triangle.

Select the radio button that indicates which three of the triangle values are known. Upon making your selection the triangle calculator will load the appropriate entry form. This is the perimeter P of the solved triangle. This is the semi-perimeter s of the solved triangle. This is the area K of the solved triangle. This is the radius r of the inscribed circle of the solved triangle. The inscribed circle is the largest circle that will fit within the triangle. This is the radius R of the circumscribed circle of the solved triangle.

The circumscribed circle is a circle that passes through all three vertices of a triangle. This is the length of the median m awhich is the line that runs from vertex A to the mid-point of side a the opposite side. This is the length of the median m bwhich is the line that runs from vertex B to the mid-point of side b the opposite side. This is the length of the median m cwhich is the line that runs from vertex C to the mid-point of side c the opposite side.

This is the height h of the triangle using side a as the base. This is the height h of the triangle using side b as the base. This is the height h of the triangle using side c as the base. This is the coordinate used for vertex A.

In order to plot the triangle for drawing, vertex A is always located at coordinate [0,0]. This is the coordinate used for vertex B.This calculator can compute area of the triangle, altitudes of a triangle, medians of a triangle, centroidcircumcenter and orthocenter. So we have:. Welcome to MathPortal. I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on mathhelp mathportal. Math Calculators, Lessons and Formulas It is time to solve your math problem.

Triangle calculator. Triangle in coordinate geometry. Input vertices and choose one of seven triangle characteristics to compute. Input three points and select a value to compute.

Triangle Calculator in Python

You can input integers 10decimals Factoring Polynomials. Rationalize Denominator. Quadratic Equations. Solving with steps. Equilateral Triangle.

Unary Operations. System 2x2. Limit Calculator. Arithmetic Sequences. Distance and Midpoint. Degrees to Radians. Evaluate Expressions. Descriptive Statistics. Simple Interest. Work Problems. Formulas and examples for triangle Area of the triangle? Quick Calculator Search. Related Calculators Distance and Midpoint Calculator. Right Triangle Calculator. Law of Sines and Cosines. Was this calculator helpful? Yes No. Please tell me how can I make this better.

About the Author. Comment: Email optional. Area default. Centroid intersection of medians. Incenter center of the incircle. Circumcenter center of circumscribed circle. 