Question

each leg of a 45°-45°-90° triangle measures 14 cm. what is the length of the hypotenuse? 7 cm, 7√2 cm, 14 cm, 14√2 cm (with a triangle image showing legs of length 14 and angles 45° and 90°)

Explanation:

Step1: Recall 45-45-90 triangle rule

In a 45-45-90 triangle, hypotenuse = leg length $\times \sqrt{2}$.

Step2: Substitute given leg length

Leg length = 14 cm, so hypotenuse = $14 \times \sqrt{2}$

Answer:

D. $14\sqrt{2}$ cm