Question

the hypotenuse of a 45° - 45° - 90° triangle measures 7√2 units. what is the length of one leg of the triangle? 7 units 7√2 units 14 units 14√2 units

Explanation:

Step1: 45-45-90 triangle ratio: hypotenuse = leg×√2

Let leg length be \(x\), hypotenuse = \(x\sqrt{2}\)

Step2: Set equation with given hypotenuse

\(x\sqrt{2} = 7\sqrt{2}\)

Step3: Solve for leg length

\(x = \frac{7\sqrt{2}}{\sqrt{2}} = 7\)

Answer:

A. 7 units