Question

If the area of △ABC=134 square feet, m∠C = 41° , and b=24 feet, then what is the length of side a ? Round your answer to the nearest whole number.
Answer
Options are:
17 feet
17 feet

16 feet
16 feet

9 feet
9 feet

15 feet
Answered by GPT 3.5
We can use the formula for the area of a triangle to find the length of side a since we know the area and the length of side b. The formula for the area of a triangle is A = (1/2) * b * h, where b is the length of the base of the triangle and h is the height.

In this case, side b is the base of the triangle, and the height is the length of side a. So, the formula becomes:

134 = (1/2) * 24 * h

Simplifying, we get:

134 = 12 * h

Dividing both sides by 12, we find:

11.17 = h

Therefore, the length of side a is approximately 11 feet when rounded to the nearest whole number.
Answered by GPT 3.5
The correct answer is 17 feet.