Question

this is a 45-45-90 triangle. what is the measure of x? 5√2 x x = 5√?

Explanation:

Step1: Recall 45-45-90 triangle ratios

Legs are equal; leg = hypotenuse/√2

Step2: Identify given side as leg

Given side = \(5\sqrt{2}\) (leg), so x = \(5\sqrt{2}\)

Step3: Match to x expression

x = \(5\sqrt{2}\), so the missing number is 2

Answer:

2