Finding the Height of an Isosceles Triangle

What is an Isosceles Triangle?

An isosceles triangle is a type of triangle with two sides of equal length. It is a very common type of triangle found in nature and in everyday life. The two equal sides of the triangle are known as the base and the other side is known as the height.

How to Find the Height of an Isosceles Triangle

Finding the height of an isosceles triangle is not difficult. The first step is to measure the length of the two equal sides. This length is known as the base. Once you have the base, you can use the Pythagorean theorem to find the height. The Pythagorean theorem states that the square of the length of the height is equal to the sum of the squares of the two sides of the triangle.

Example

Let's say that you have an isosceles triangle with two sides of length 4. To find the height, you would use the Pythagorean theorem and calculate it as follows:
Height2 = 42 + 42 = 16 + 16 = 32
Height = √32 = 5.66

Conclusion

As you can see, finding the height of an isosceles triangle is relatively easy. All you have to do is measure the length of the two equal sides and use the Pythagorean theorem to calculate the height. With this knowledge, you can now calculate the height of any isosceles triangle.