Question

the area of the triangle below is 12.87 square inches. what is the length of the base?

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of 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 \(A = 12.87\) square inches and \(h=3.9\) inches. Then \(b=\frac{2\times12.87}{3.9}\).
First, calculate \(2\times12.87 = 25.74\).
Then, \(b=\frac{25.74}{3.9}=6.6\) inches.

Answer:

\(6.6\) inches