Question

practice with special right triangles. 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

Explanation:

Step1: Recall 45-45-90 triangle ratio

In a \(45^\circ - 45^\circ - 90^\circ\) triangle, the ratio of leg to hypotenuse is \(1:\sqrt{2}\). So hypotenuse \(= \text{leg} \times \sqrt{2}\).

Step2: Substitute leg length

Given leg \(= 14\) cm, so hypotenuse \(= 14 \times \sqrt{2} = 14\sqrt{2}\) cm.

Answer:

\(14\sqrt{2}\) cm (corresponding to the option: \(14\sqrt{2}\) cm)