Question

find the value of x in the triangle shown below. choose 1 answer. x = √32 x = 4

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $a = 7$, $b=x$, and $c = 9$. So, $7^{2}+x^{2}=9^{2}$.

Step2: Simplify the equation

$49+x^{2}=81$. Then, $x^{2}=81 - 49$.

Step3: Calculate the value of $x^{2}$

$x^{2}=32$.

Step4: Solve for $x$

$x=\sqrt{32}$.

Answer:

$x = \sqrt{32}$