Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the leg of a 45°-45°-90° triangle is 19 kilometers long. how long is it…

Question

the leg of a 45°-45°-90° triangle is 19 kilometers long. how long is its hypotenuse? write your answer in simplest radical form. kilometers

Explanation:

Step1: Recall 45-45-90 triangle ratio

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

Step2: Substitute leg length

Hypotenuse = $19 \times \sqrt{2}$

Answer:

$19\sqrt{2}$ kilometers