Question

if the area of the triangle is 82 in2, what is the value of x?

Answer 1

The formula for the area of a triangle is:

$Area=\frac{1}{2}(base\times height)$

The height of this triangle is 7in, the area is equal to 84 squared inches, and the base is represented as x. Substitute those values on the formula:

$84=\frac{1}{2}(7x)$

Multiply both sides by 2 and divide by 7 to isolate x:

$\begin{gathered} x=\frac{2}{7}\times84 \\ =\frac{168}{7} \\ =24 \end{gathered}$

Therefore, the value of x is 24 in.