Question

number of questions 5 1 find the length of side n of the right triangle. 3 yards 5 yards n 4 yards 2 yards 6 yards 3 yards

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $c = 5$ yards, $a = 3$ yards, and we want to find $b=n$. So, $n=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

Substitute $c = 5$ and $a = 3$ into the formula: $n=\sqrt{5^{2}-3^{2}}=\sqrt{25 - 9}=\sqrt{16}$.

Step3: Calculate the square - root

$\sqrt{16}=4$.

Answer:

4 yards