Question

The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg

Answer 1

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

`\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7`