Question

the area of the triangle below is 32.3 square inches. what is the length of the base? 6.8 in

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times b\times h\), where \(A\) is the area, \(b\) is the base, and \(h\) is the height.

Step2: Rearrange the formula to solve for the base

We can rewrite the formula as \(b = \frac{2A}{h}\).

Step3: Substitute the given values into the formula

Given \(A = 32.3\) square inches and \(h=6.8\) inches. Then \(b=\frac{2\times32.3}{6.8}\).
First, calculate \(2\times32.3 = 64.6\). So \(b=\frac{64.6}{6.8}\).

Step4: Perform the division

\(64.6\div6.8 = 9.5\)

Answer:

\(9.5\) inches