Question

number of questions: 5

1. find the length of side a of the right triangle.

25 in.
15 in.
21 in.
22 in.
20 in.
19 in.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$, where $c$ is the hypotenuse. Here $c = 25$ in and $b = 15$ in, and we want to find $a$. So, $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute values

$a=\sqrt{25^{2}-15^{2}}=\sqrt{(25 + 15)(25 - 15)}$ (using the difference - of - squares formula $x^{2}-y^{2}=(x + y)(x - y)$).

Step3: Calculate

$a=\sqrt{(40)(10)}=\sqrt{400}=20$ in.

Answer:

20 in