Question

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

a =
`2√(2)`

b = 2

Explanation:

By applying tangent rule in the given triangle,

tanθ =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(45)° =
`(2)/(b)`

1 =
`(2)/(b)`

b = 2

Now we apply sine rule in the triangle,

sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(45)° =
`(2)/(a)`

`(1)/(√(2))=(2)/(a)`

a =
`2√(2)`