Question

In the isosceles triangle below, the congruent sides each measure 13 meters. If the base of the triangle is 10 meters, what is the height of the triangle?

Answer 1

Answer:

12

Step-by-step explanation:

Divide the triangle into two right triangles.

Then use Pythagorean theorem for calculating the missing side (which is the height) of one of the right triangles.

$13^{2} - 5^{2} = 144$

$\sqrt{144} = 12$