Question

What is the length of the legs?

4√2
8
4
√8

Answer 1

4

Explanation:

Since the triangle is isosceles then the legs are congruent.

Using the sine ratio in the right triangle and

sin45° =
`(1)/(√(2) )`, then

sin45° =
`(leg)/(hypotenuse)` =
`(leg)/(4√(2) )`

Multiply both sides by 4
`√(2)`

sin45° × 4
`√(2)` = leg, that is

`(1)/(√(2) )` × 4
`√(2)`, hence

leg = 4