Question

an isosceles triangle has an area of 125ft^2. If the base is 14ft, what is the length of each leg? Round to the nearest tenth?

A.19.2ft

B.17.9ft

C.36.4ft

D. 22.7ft.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of each leg of the isosceles triangle, we can use the formula for the area of a triangle, which is (base * height) / 2.

First, divide the area by the length of the base and multiply by 2 to find the height:
125 / 14 = 8.93
8.93 * 2 = 17.86

Now, we need to find the length of each leg using the Pythagorean theorem:
leg = sqrt((height/2)^2 + (base/2)^2)
leg = sqrt((8.93/2)^2 + (14/2)^2)
leg = sqrt((4.465)^2 + (7)^2)
leg = sqrt(19.93522 + 49)
leg = sqrt(68.93522)
leg ≈ 8.3

Therefore, the length of each leg of the isosceles triangle is approximately 8.3ft, so the closest answer is:

B. 17.9ft.