Question

An isosceles triangle has two congruent side lengths of 20 centimeters. The base of the triangle is 10 centimeters. Find the height of the

isosceles triangle

(Use the Pythagorean Theorem & DONT GIVE ME THE ANSWER, I JUST WANT THE EQUATION) Thx :)

Answer 1

(half of base)² + (height)² = (20)²

Explanation:

In an isosceles triangle, the angle bisector from the 3rd angle to the opposite side is a perpendicular bisector, so you split the isosceles triangle into two congruent right triangles.

This technique of 'splitting the isosceles' is used a LOT.