212k views
3 votes
If the hypotenuse of a right triangle is 2 sqrt 3 units long and one legs is sqrt 3 units long, how long is the other leg?

a. 3
b. 2 sqrt 3
c. sqrt 3

User Shuman
by
8.2k points

1 Answer

2 votes
Theorem of Pythagoras: a²+b²=c², where a, b is legs and c is hypotenuse.

We've got one leg known, let it be a=sqrt 3,
and the hypotenuse - c=2sqrt3


Putting these into the theorem, we get an equation: (sqrt3)²+b²=(2sqrt3)² . Solving it, we get:

3+b²=4*3
3+b²=12
b²=9

This equation has two possible roots: b=3 and b=-3. Since this is a triangle, there can't be a side with a negative value => b=3.

The answer is a. 3
User Nathan Tregillus
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