Question

the area of the triangle below is 3.63 square inches. what is the length of the base?

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 \(A = 3.63\) square inches and \(h=2.2\) inches. Then \(b=\frac{2\times3.63}{2.2}\).
First, calculate \(2\times3.63 = 7.26\). So \(b=\frac{7.26}{2.2}\).
Then, \(7.26\div2.2 = 3.3\).

Answer:

The length of the base is \(3.3\) inches.