An isosceles triangle upper A upper B upper C. Vertex upper A is on the bottom left, vertex upper B is at the top, and vertex upper C is on the bottom right. A line extends from vertex B to the middle of the base, creating a right angle labeled upper H.

Question

An isosceles triangle, △ABC , has the measurements AB=BC=12 . The segment BH is the altitude of △ABC , and BH=AH=CH=x . Which of the following correctly applies the Pythagorean Theorem to find x?

(1 point)
Responses

x=72
x equals 72

x=6
x equals 6

x=122–√
x equals 12 Start Root 2 End Root

x=62–√

Answer 1

x=6
x equals 6