What are the measurements of a and b?

Question

asked Dec 10, 2021 90.1k views

1 Answer

Jevgenij · Answer 1 · 2021-12-15T04:11:25+0000

Answer:

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.