Question

Trig homework. Find the two missing sides and write your answer as in simplified radical form.

Answer 1

u = 8, v = 4
`√(2)`

Explanation:

Using the sine ratio in the right triangle and the exact value

sin45° =
`(1)/(√(2) )` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(4√(2) )/(u)` =
`(1)/(√(2) )` ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4
`√(2)`