In order to determine the area of the triangular base, we need to first identify the dimensions of the triangle.
From the net, we can see that the base of the triangular base is 6 inches. The height of the triangle is unknown but can be calculated using the Pythagorean theorem as the net shown is a truncated square pyramid and the diagonal (slant height) is 10 inches.
Using the Pythagorean theorem:
(6)^2 + (x)^2 = (10)^2
36 + x^2 = 100
x^2 = 64
x = 8 inches
Therefore, the height of the triangle is 8 inches.
To calculate the area of the triangular base, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Area = (1/2) * 6 * 8
Area = 24 square inches
Therefore, the area of the triangular base is 24 square inches.
Given the following net, what is the area of the triangular base?
6in. ?. 48in.^2 64in.^2 80in.^2
1 answer