Notice that we can find the measure of the base using the pythagorean theorem. Let 'x' be the length of the base, then, we have the following:
[tex]\begin{gathered} x=\sqrt[]{(17.3)^2-(16.5)^2}=\sqrt[]{299.29-272.25}=\sqrt[]{27.04}=5.2 \\ \Rightarrow x=5.2ft \end{gathered}[/tex]
now that we have that the length of the base is x = 5.2ft and the height of the triangle is 16.5ft, we can find the area:
[tex]\begin{gathered} A=\frac{5.2\cdot16.5}{2}=\frac{85.8}{2}=42.9 \\ \Rightarrow A=42.9ft^2 \end{gathered}[/tex]
therefore, the area of the triangle is 42.9ft^2
