230k views
5 votes
In a 30-60-90 triangle, the hypotenuse is 20 feet long. Find the length of the length of the long leg and the short leg

User Clouddy
by
7.9k points

1 Answer

5 votes
In 30-60-90 triangle there is a rule that leg opposite to 30 degree angle is 2x shorter than hypotenuse. That means that shorter leg is 10 feet long.

longer leg we can calculate using Pythagoras theorem.
20^2 = 10^2 + x^2
x^2 = 300
x = √300 = 10√3
User Mustafa Shabib
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories