Question

multiple choice 1 point
in a 30 - 60 - 90 triangle, the hypotenuse has a length of 10. how long is the shorter leg (across from the 30 degree angle)?
5
10√2
5√2
20

Explanation:

Step1: Recall the property of 30 - 60 - 90 triangle

In a 30 - 60 - 90 triangle, if the hypotenuse \(c\) is given, and the shorter leg (opposite the 30° angle) is \(a\), the relationship is \(a=\frac{c}{2}\).

Step2: Substitute the value of hypotenuse

Given \(c = 10\), then \(a=\frac{10}{2}\).

Answer:

A. 5