Question

8.) (5 points)
? cm
6.6 cm
area = 27.1 cm²

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). We can rewrite it to solve for the base \(b\) as \(b = \frac{2A}{h}\).

Step2: Substitute the given values

Given \(A = 27.1\space cm^{2}\) and \(h=6.6\space cm\). Substitute into the formula \(b=\frac{2\times27.1}{6.6}\).
First, calculate \(2\times27.1 = 54.2\). Then, \(b=\frac{54.2}{6.6}\approx8.21\space cm\)

Answer:

\(8.21\space cm\)