Question

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

Answer 1

`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"`