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!
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