Question

this is a 45-45-90 triangle. what is the measure of x? \\(\sqrt{14}\\) \\(x = ?\sqrt{\square}\\)

Explanation:

Step1: Identify leg length

Leg = $\sqrt{14}$

Step2: Apply 45-45-90 ratio

Hypotenuse = leg $\times \sqrt{2}$
$x = \sqrt{14} \times \sqrt{2} = \sqrt{28} = 2\sqrt{7}$

Answer:

$2\sqrt{7}$