Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 18 of 22 the length of the other leg is meters. the length of …

Question

question 18 of 22 the length of the other leg is meters. the length of the hypotenuse is meters.

Explanation:

Step1: Identify the sides of the right - triangle

In a 30 - 60 - 90 right - triangle, if the shorter leg (opposite the 30° angle) has length $x$, the longer leg (opposite the 60° angle) has length $\sqrt{3}x$ and the hypotenuse has length $2x$.

Step2: Determine the length of the other leg

The other leg (opposite the 60° angle) has length $\sqrt{3}x$ meters.

Step3: Determine the length of the hypotenuse

The hypotenuse has length $2x$ meters.

Answer:

The length of the other leg is $\sqrt{3}x$ meters.
The length of the hypotenuse is $2x$ meters.