What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is 2 sqrt 6 centimeters?

Thanks for all the help today!

AnonymousConfusedGuy
Feb 27, 2018

#1**+1 **

The side opposite the 30° is (1/2) of the hypotenuse = √6 cm

The side opposite the 60° angle is √3 times the side opposite the 30° angle = √3 * √6

So...the perimeter is

√6 ( 1 + √3 + 2 ) =

√6 ( 3 + √3 ) cm

CPhill
Feb 27, 2018