Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the area of the triangle below is 3.63 square inches. what is the lengt…

Question

the area of the triangle below is 3.63 square inches. what is the length of the base? 2.2 in answer b = in submit answer

Explanation:

Step1: Recall the area formula of a triangle

The area formula 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 \(b\)

From \(A = \frac{1}{2}\times b\times h\), we can get \(b=\frac{2A}{h}\).

Step3: Substitute the given values

Given \(A = 3.63\) square inches and \(h=2.2\) inches. Substitute into \(b=\frac{2A}{h}\), we have \(b=\frac{2\times3.63}{2.2}\).
First, calculate \(2\times3.63 = 7.26\). Then, \(b=\frac{7.26}{2.2}=3.3\).

Answer:

\(3.3\)