Question

devon reseeded a section of lawn that he plans to protect by putting a fence around it. the section of lawn is in the shape of a right triangle with a leg that is 10 feet long and a hypotenuse that is 26 feet long. devon has 55 feet of fencing. does devon have enough fencing for this project? use the drop - down menus to explain.

Explanation:

Step1: Find the other leg length

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c = 26$ (hypotenuse) and $a = 10$ (one leg). Let the other leg be $b$. Then $b=\sqrt{c^{2}-a^{2}}=\sqrt{26^{2}-10^{2}}=\sqrt{(26 + 10)(26 - 10)}=\sqrt{36\times16}=\sqrt{576}=24$.

Step2: Calculate the perimeter

The perimeter $P$ of the right - triangle is the sum of the three sides. So $P=10 + 24+26=60$ feet.

Step3: Compare with available fencing

Devon has 55 feet of fencing. Since $55<60$, he does not have enough fencing.

Answer:

No, Devon does not have enough fencing.