question find the length of the third side. if necessary, round to the nearest tenth.
question find the length of the third side. if necessary, round to the nearest tenth.
Answer
Explanation:
Step1: Identify the theorem
Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $c = 25$ and $a = 7$.
Step2: Rearrange the formula
We want to find $b$, so $b=\sqrt{c^{2}-a^{2}}$.
Step3: Substitute values
$b=\sqrt{25^{2}-7^{2}}=\sqrt{625 - 49}=\sqrt{576}$.
Step4: Calculate the square - root
$\sqrt{576}=24$.
Answer:
24