Question

PLEASE HELP

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse? Check all that apply.

Answer 1

Answer: squ root 3:2 3 square root 3:6 3:2 square root 6

Step-by-step explanation: a*pex

Answer 2

Let the hypotenuse of a 30-60-90 triangle = l
So, the leg which faces angel 60 = l sin 60 = (√3)/2 l // and the leg faces angel 30 = l sin 30 = 0.5 l //
∴ the longer leg = (√3)/2 l
∴ The ratio between the longer leg and hypotenuse = (√3)/2 l : l = (√3)/2 : 1 = √3 : 2 = 3 : 2√3
The correct choices will be C and E