Respuesta :

The formula for the area of a triangle is:

[tex]Area=\frac{1}{2}(base\times height)[/tex]

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:

[tex]84=\frac{1}{2}(7x)[/tex]

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

[tex]\begin{gathered} x=\frac{2}{7}\times84 \\ =\frac{168}{7} \\ =24 \end{gathered}[/tex]

Therefore, the value of x is 24 in.