In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

1 Answer
Mar 24, 2018

#10 "cm"#

Explanation:

In a #30-60-90# special right triangle:
Side opposite to #30# degrees: #x#
Side opposite to #60# degrees: #xsqrt3#
Side opposite to #90# degrees: #2x#

So in this case we are given the side opposite to the #30# degrees, or the shorter leg :
#x= 5 "cm"#

So to find the hypotenuse:
#2x= 2*5= 10 "cm"#