Question

Write an algebraic expression to represent the area of the triangle. Area of triangles is one half base times height. The height is h, and the base is h + 6. Find the area if h is 12 inches.

Answer 1

Area = (Base / 2 ) * Height

Base = Height + 6

Height = 12

The algebraic expression would be:

A = ((x +6)/2) * x

Solve Base first:
(12 + 6)/2 = 18/2 = 9
Then
A = 9 * 12
A = 108