Question

the area of the triangle below is 5.89 square meters. what is the length of the base? 3.4 m

Explanation:

Step1: Write 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 \(A = 5.89\) square meters and \(h=3.4\) meters. Then \(b=\frac{2\times5.89}{3.4}\).
First, calculate \(2\times5.89 = 11.78\).
Then, \(b=\frac{11.78}{3.4}=3.464706\approx3.46\) meters.

Answer:

The length of the base is approximately \(3.46\) meters.