Question

Find the length of the unknown leg of a right triangle with sides 29, 20, and an unknown leg represented as b. The measure of angle B is 40 degrees, while angle A is unknown. What is the length of side b?

A) 14.5
B) 17
C) 22.5
D) 25

Answer 1

The length of the unknown leg of the right triangle is approximately 35.22.

Step-by-step explanation:

To find the length of the unknown leg of the right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of one side (a) plus the square of the length of the other side (b) is equal to the square of the length of the hypotenuse (c).

So, the equation for this triangle is 29² + 20² = b². Solving for b, we have b = √(29² + 20²). Calculating this, we get b ≈ 35.22. Therefore, the length of side b is approximately 35.22.