The required short leg is 7inches.
Given that,
Hypotenuse = 14 inches,
In triangle 30-60-90
We have to determine,
By using figure find the short leg.
According to the question,
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º.
The triangle is special because its side lengths are always in the ratio of 1: √3:2.
The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given.
The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle.
Therefore,
The hypotenuse is always twice as long as the shortest one.
Where, Hypotenuse = 14inches
Then,
[tex]Hypotenuse = 2 \times short \ leg \\\\14 = 2 \times short \ leg\\\\short\ leg = \dfrac{14}{2}\\\\short \ leg = 7[/tex]
Hence, The required short leg is 7inches.
To know more about Pythagoras theorem click the link given below.
https://brainly.com/question/22698523
