Question

applying the pythagorean theorem what is the value of x? x = 10 8

Explanation:

Step1: Recall Pythagorean Theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse.

Step2: Substitute known values

$x^2 + 8^2 = 10^2$

Step3: Calculate squared terms

$x^2 + 64 = 100$

Step4: Isolate $x^2$

$x^2 = 100 - 64 = 36$

Step5: Solve for $x$

$x = \sqrt{36} = 6$

Answer:

6