Question

find the value of x in the triangle shown below. choose 1 answer.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $c = 5$, $b = 4$, and we want to find $a=x$. So, $x^{2}+4^{2}=5^{2}$.

Step2: Rearrange the equation

$x^{2}=5^{2}-4^{2}$.

Step3: Calculate the values

$5^{2}=25$, $4^{2}=16$. Then $x^{2}=25 - 16=9$.

Step4: Solve for x

Taking the square root of both sides, since $x$ represents a side - length (non - negative), $x=\sqrt{9}=3$.

Answer:

$3$