Find the area of this triangle.

there is 7inch wall a 25 inch wall and a 24 inch wall

(1 point)
Responses

42 square inches
42 square inches

84 square inches
84 square inches

175 square inches
175 square inches

168 square inches

1 answer

To find the area of a triangle, we can use Heron's formula.

The lengths of the three sides of the triangle are given as 7 inches, 25 inches, and 24 inches.

Let's label the sides of the triangle as a, b, and c, where a = 7 inches, b = 25 inches, and c = 24 inches.

First, calculate the semi-perimeter (s) of the triangle:

s = (a + b + c) / 2
= (7 + 25 + 24) / 2
= 56 / 2
= 28

Next, calculate the area (A) of the triangle using Heron's formula:

A = sqrt(s * (s - a) * (s - b) * (s - c))
= sqrt(28 * (28 - 7) * (28 - 25) * (28 - 24))
= sqrt(28 * 21 * 3 * 4)
= sqrt(7056)
≈ 83.869

Therefore, the area of the triangle is approximately 83.869 square inches.

None of the given options match with the correct answer, so the correct answer is not provided.