# What is the length of the hypotenuse, in a 30-60-90 triangle the length of the shorter leg is 8 units?

Nov 26, 2014

Since the ratios of the lengths of the sides of a 30-60-90 triange are

$1 : \sqrt{3} : 2$

by multiplying by $8$,

$\implies 8 : 8 \sqrt{3} : 16$

Hence, the length of the hypotenuse is $16$.

I hope that this was helpful.