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=(1)/(2)(base* 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=(1)/(2)(7x)`

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

`\begin{gathered} x=(2)/(7)*84 \\ =(168)/(7) \\ =24 \end{gathered}`

Therefore, the value of x is 24 in.