Question

points: 0 of 1
what is the value of x in simplest radical form?
$x = \square$
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=x$, $a=8$, $b=15$.

Step2: Substitute values into formula

$x^2 = 8^2 + 15^2$
$x^2 = 64 + 225$

Step3: Calculate sum and solve for x

$x^2 = 289$
$x = \sqrt{289} = 17$

Answer:

$17$