+0

# Geometry

0
44
2

In any isosceles triangle ABC with AB = AC, the altitude AD bisects the base BC so that BD = DC. If AB = AC = 25 and BC = 18, then determine the length of the altitude .

Oct 28, 2022

#1
+1023
+1

If ABC is an isosceles triangle, then that means the altituted AD will form a right angle with line BC.

IF BD = BC/2 = 18/2 = 9, and AB = 25, you can use the pythagorean theorem to obtain the length of AD

25^2 - 9^2 = 544. Square root of 544 = $$4\sqrt{34}$$

Oct 28, 2022
#2
0