Question

for the following right triangle, find the side length x. round your answer to the nearest hundredth.

Explanation:

Step1: Apply Pythagorean theorem

Let the hypotenuse be $c = 18$, one - leg be $a = 9$, and the other leg be $x$. The Pythagorean theorem is $a^{2}+x^{2}=c^{2}$, so $x^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $a = 9$ and $c = 18$ into the formula: $x^{2}=18^{2}-9^{2}=324 - 81=243$.

Step3: Solve for $x$

$x=\sqrt{243}\approx15.59$.

Answer:

$15.59$