Mr. mcbride asks students to find the volume of the triangular pyramid below. which student wrote the correct expression for the value of B, the are of the base?

Given:

Given that the height of the pyramid is 20 inches.

The sides of the triangle are 9 in, 12 in and 15 in.

The expression for the area of the base written by JO is

The expression for the area of the base written by MAE is

We need to determine the correct expression for the area of the base written by the student.

Expression for the area of the base:

The area of the base of the triangular prism can be determined using the formula,

where b is the base of the triangle and h is the height of the triangle.

From the figure, the base of the triangle is 9 inches and the height of the triangle is 12 inches.

Substituting in the above formula, we get;

Thus, the correct expression for the area of the base is

Hence, the expression wrote by MAE is correct.

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