Find the area of this triangle. 7in 25in 24in(1 point) Responses 84 square inches 84 square inches 42 square inches 42 square inches 168 square inches 168 square inches 175 square inches
To find the area of a triangle, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:
Area = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated by:
s = (a + b + c)/2
In this case, the side lengths of the triangle are 7in, 25in, and 24in.
Calculating the semi-perimeter, we get:
s = (7 + 25 + 24)/2 = 28
Plugging this into Heron's formula, we have:
Area = √(28(28-7)(28-25)(28-24))
= √(28(21)(3)(4))
= √(7056)
= 84 square inches
Therefore, the area of this triangle is 84 square inches.