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
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.