Question

graded quiz: polygons and triangles
question 4 (5 points)
listen
if the area of the triangle is 84 in², what is the value of x?
a) 168 in

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Here, \(A = 84\space in^{2}\), height \(h=7\space in\), and base \(b = x\).

Step2: Substitute the values into the formula

Substitute \(A = 84\), \(h = 7\) into \(A=\frac{1}{2}\times b\times h\). We get \(84=\frac{1}{2}\times x\times7\).

Step3: Solve for \(x\)

First, multiply both sides of the equation by \(2\) to get \(168 = 7x\). Then divide both sides by \(7\), so \(x=\frac{168}{7}=24\).

Answer:

\(x = 24\space in\)