Question

Fine the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

A

Explanation:

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

sin45° =
`(√(2) )/(2)` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(x)/(2)` =
`(√(2) )/(2)` ( cross- multiply )

2x = 2
`√(2)` ( divide both sides by 2 )

x =
`√(2)`

the triangle is a 45- 45- 90 and is isosceles with congruent legs, then

x = y =
`√(2)`