Question

In a 30-60-90 triangle, the length of the hypotenuse i 6. What is the length of the shortest side?

Answer 1

Answer:

3 units

Step-by-step explanation:

In a 30-60-90 triangle, the length are given by:

$x \\ \\ \frac{x}{2} \\ \\ \frac{x}{2} \sqrt{3}$

Where the longest side x, is the hypotenuse.

The shortest side is

$\frac{x}{2}$

Since x=6 is the hypotenuse, the shortest side length is:

$\frac{6}{2} = 3$