Question

choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the height. (1/2)(2h - 8)(h) (1/2)(2b + 8)(b) (1/2)(2h)(h - 8)

Explanation:

Step1: Define variables

Let $h$ be the height of the triangle.

Step2: Find base expression

The base is 8 inches less than 2 times the height. So base $b = 2h-8$.

Step3: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$.

Step4: Substitute base

Substitute $b = 2h - 8$ into the area formula, we get $A=\frac{1}{2}(2h - 8)h$.

Answer:

A. $(1/2)(2h - 8)(h)$