When finding the volume of a triangle prism first we must find the area of the base. What is the area of the base of the triangle prism? Height 3cm length 7cm width 2cm

Answer 1

To find the area of the base of the triangular prism, we need to find the area of the triangle that forms the base.

First, we need to calculate the semi-perimeter of the triangle:

Perimeter = 3 + 7 + 2 = 12
Semi-perimeter = Perimeter / 2 = 12 / 2 = 6

Next, we can calculate the area of the triangle using Heron's formula:

Area = sqrt(s * (s - 3) * (s - 7) * (s - 2))
Area = sqrt(6 * (6 - 3) * (6 - 7) * (6 - 2))
Area = sqrt(6 * 3 * -1 * 4)
Area = sqrt(72)

Therefore, the area of the base of the triangular prism is approximately 8.49 square cm.