Question

find the missing side length in the triangle shown.
$x = 2\sqrt{13}$
$x = \sqrt{10}$
$x = 2\sqrt{5}$
$x = 52$

Explanation:

Step1: Apply Pythagorean theorem

$x^2 = 4^2 + 6^2$

Step2: Calculate squares of legs

$x^2 = 16 + 36 = 52$

Step3: Take square root of 52

$x = \sqrt{52} = 2\sqrt{13}$

Answer:

$2\sqrt{13}$