Question

3. A farmer is fencing off a triangular part of this property where he was like this contie te guze. Two of the sidesare given 1072 feet and 343 feet. Round answers to all parts of this question to the nearest hundredth.A.Find the length of the fencing for the missing side of the triangle.B.Find the area of the triangular region in square feet Use A=bh/2c. Find the area, in acres, of the triangular region. Use the conversion factor 1 acre=43,560 square feet.

Answer 1

A.

Using pythagorean theorem:

`\begin{gathered} c^2=a^2+b^2 \\ where\colon \\ c=1072 \\ b=343 \\ solve_{\text{ }}for_{\text{ }}a\colon \\ (1072)^2=a^2+(343)^2 \\ a=\sqrt[]{(1072)^2-\mleft(343\mright)^2} \\ a\approx1015.645ft \end{gathered}`

B.

The area will be:

`\begin{gathered} A=(b\cdot h)/(2) \\ where\colon \\ b=343 \\ h=1015.645 \\ A=(343\cdot1015.645)/(2) \\ A=174183.1373ft^2 \end{gathered}`

C.

`174183.1373ft*(1acre)/(43560ft)=3.9987ac`