Question

xCarry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.

Answer 1

Given

sides 17 ft, 14 ft, and 20 ft.

Recall that given three sides of a triangle, we can calculate the area using Heron's Formula which states that

`\begin{gathered} A=√(s(s-a)(s-b)(s-c)) \\ \text{where} \\ a,b,\text{ and }c\text{ are the length of the sides of a triangle} \\ s\text{ is }(a+b+c)/(2) \end{gathered}`

Solve for s first and we get

`\begin{gathered} s=(a+b+c)/(2) \\ s=(14+17+20)/(2) \\ s=(51)/(2) \\ s=25.5 \end{gathered}`

Next, use Heron's formula and we have

Rounding our final answer to the nearest tenth, the area of the given triangle is 117.1 square feet.