Question

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

Explanation:

Step1: Recall 45-45-90 triangle properties

Legs are equal; hypotenuse = leg×$\sqrt{2}$

Step2: Set up equation for leg

Let leg = $x$. Hypotenuse = $x\sqrt{2} = 5\sqrt{2}$

Step3: Solve for $x$

Divide both sides by $\sqrt{2}$: $x = 5$

Answer:

5