Given:
The dimensions of the triangular pennant:
height = 17.4 in
Area = 82.65 square inch
Le the measure of the base be x
The area (A), height (h) and base (b) of a triangle are related by the formula:
[tex]A\text{ = }\frac{1}{2}\text{ b }\times\text{ h}[/tex]
Substituting the given values:
[tex]\begin{gathered} 82.65\text{ = }\frac{1}{2}\text{ }\times\text{ x }\times\text{ 17.4} \\ Cross-Multiply \\ 17.4x\text{ = 165.3} \\ x\text{ = 9.5} \end{gathered}[/tex]
Hence, the measure of the base is 9.5 in
