Question

Find the value of x in the isosceles triangle shown below.

Answer 1

x=8

Explanation:

Answer 2

x=8

Explanation:

This isosceles triangle is composed of two right triangles with sides 8,
`√(80)` , and y

As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

`(√(80) )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4`

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y

Therefore, x=2(4)=8