Question

What are the measurements of a and b?

Answer 1

Option (2)

Explanation:

By applying Sine ratio in the given triangle.

Sin(45)° =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

Sin(45)° =
`(a)/(4√(2))`

`(1)/(√(2))=(a)/(4√(2))`

a = 4

Now we find the cosine ratio in the given triangle,

Cos(45)° =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

`(1)/(√(2))=(b)/(4√(2))`

b = 4

Therefore, measure of the legs are,

a = 4

b = 4

Option (2) will be the answer.