Question

An isosceles triangle has an area of 125 ft2. If the base is 14 ft, what is the length of each leg? Round the answer to the nearest tenth.
(1 point)
Responses

19.2 ft
19.2 ft

17.9 ft
17.9 ft

36.4 ft
36.4 ft

22.7 ft

Answers

GPT 3.5
The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Since this is an isosceles triangle, the height will also be the length of one of the legs.

125 = (1/2)(14)(h)
125 = 7h
h = 17.9 ft

Therefore, each leg of the isosceles triangle would be approximately 17.9 ft long, rounded to the nearest tenth. So the answer is:
17.9 ft