Find the area of the triangle. 7cm 11cm 13cm and 5 cm .(1 point)Responses32.5 cm232.5 cm232.5 cm232.5 cm245.5 cm245.5 cm245.5 cm245.5 cm265 cm265 cm265 cm265 cm271.5 cm2
The area of the triangle can be calculated using Heron's formula, which states:
Area = sqrt(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, a = 7 cm, b = 11 cm, and c = 13 cm.
Plugging these values into the formula:
s = (7 + 11 + 13) / 2 = 31 / 2 = 15.5
Area = sqrt(15.5(15.5 - 7)(15.5 - 11)(15.5 - 13))
Area = sqrt(15.5 * 8.5 * 4.5 * 2.5)
Area = sqrt(13916.25)
Area ≈ 37.3 cm^2
Therefore, the area of the triangle is approximately 37.3 cm^2.