Question

Find the value of x.

Answer 1

8 sqrt(2)

Explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin 45 = 8/x

x sin 45 = 8

x = 8 / sin 45

x = 8 / ( sqrt(2) /2)

x = 16 / sqrt(2)

x = 16 / sqrt(2) * sqrt(2)/ sqrt(2)

x = 16 sqrt(2) /2

x = 8 sqrt(2)

Answer 2

D) 8√2

Explanation:

the property of an isosceles triangle is that

if one side is x, then the hypotenuse is x√2