Question

What is the height, x, in the triangle below? A. 2√5 B. 5 C. 5√2 D. 10

Answer 1

D:10

Explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10