142k views
0 votes
Find the length of the short leg of a 30 - 60 - 90 triangle If the long side is 4/3 units.

1 Answer

3 votes

Answer: CB=2/3

Explanation:

The triangle's angles are 30-60-90 degrees. So This is right triangle.

Let the triangle is ABC. B is right angle=90 degr . A=30 degrees, C=60 degrees

The long side of right triangle is hypotenuse AC=4/3 units.

In right triangle with 30 degr the side CB that is opposite to acute angle 30 degrees is twice shorter than hypotenuse AC

So CB=4/3/2=2/3

Finally using Pithagor theorem we find AB= sqrt( AC^2-CB^2)=

=sqrt(16/9-4/9)=sqrt(12/9)= 2*sqrt(3)/3

2*sqrt(3)/3>2/3 so AB>CB

So the shortest leg of ABC is CB=2/3

User Yang Yushi
by
8.2k 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