If the hypotenuse of a right triangle is 2 √(3) units long and one of the legs is √(3) units long, then how long is the other leg? √(3) 2√(3) 3

Question

If the hypotenuse of a right triangle is 2
`√(3)` units long and one of the legs is
`√(3)` units long, then how long is the other leg?


`√(3)`

2
`√(3)`

3

Answer 1

3

Explanation:

a = the other leg:

`a^(2) =(2√(3) )^(2) -(√(3)) ^(2) =(4)(3)-3=12-3`

`a^(2) =9`

`a=√(9)`

`a=3`

Hope this helps