The isosceles triangle calculator is the best choice if you are looking for a quick solution to your geometry problems. Find the isosceles triangle area, its perimeter, inradius, circumradius, heights, and angles - all in one place. If you want to build a kennel, find out the area of the Greek temple isosceles pediment, or simply do your maths homework, this tool is here for you. Experiment with the calculator or keep reading to find out more about the isosceles triangle formulas and the isosceles triangle theorem.
An isosceles triangle is a triangle with two sides of equal length, called legs. The third side of the triangle is called the base. The vertex angle is the angle between the legs. The angles with the base as one of their sides are called the base angles.
Here are the most important properties of isosceles triangles:
The equilateral triangle is a special case of an isosceles triangle. You can learn about all the possible types of triangles in the classifying triangles calculator. Additionally, if you wish to delve further into the characteristics of an equilateral triangle, check out equilateral triangle calculator
To calculate the isosceles triangle area, you can use many different formulas. The most popular ones are the equations:
Also, you can check our triangle area calculator to find other equations, which work for every type of triangle, not only for the isosceles one. To calculate the isosceles triangle perimeter, simply add all the sides of the triangle:
Isosceles triangle theorem, also known as the base angles theorem, claims that if two sides of a triangle are congruent, the angles opposite to these sides are congruent. Also, the converse theorem exists, stating that if two angles of a triangle are congruent, then the sides opposite those angles are congruent.
A golden triangle, which is also called a sublime triangle, is an isosceles triangle in which the leg is in the golden ratio to the base: a / b = φ ~ 1.618 The golden triangle has some unusual properties:
Let's find out how to use this tool with a simple example. Have a look at this step-by-step solution:
You can use this calculator to determine different parameters than in the example, but remember that there are generally two distinct isosceles triangles with a given area and other parameters, e.g., leg length. Our calculator will show one possible solution.
To compute the area of an isosceles triangle with leg a and base b, follow these steps:
We compute the perimeter of an isosceles triangle with leg a and base b with the help of the formula perimeter = 2 × a + b. This formula makes use of the fact that the two legs of an isosceles triangle are of equal length.
The answer is 6.93. To derive it, we can use the formula area = ½ × b × √( a² - b²/4 ) with a = b = 4. Alternatively, we can notice that we have here an equilateral triangle: the area formula simplifies to area = a² × √3 / 4 with a = 4. Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |