Question

The shorter leg of a 30°-60°-90° triangle is 18. what is the length of the hypotenuse?

Answer 1

The ratio of the short side to the long side in a 30 60 90 triangle is 1 : 2
So, if short side = 18, hypotenuse = 36

Answer 2

The length of the hypotenuse = 36

Explanation:

The shorter leg of a 30°-60°-90° triangle is 18

The common ratio of 30°-60°-90° triangle is x : xsqrt(3):2x

Short leg = x

Long leg =
`x√(3)`

Hypotenuse = 2x

Given short leg = x that is 18, x= 18

WE know hypotenuse is 2x

Hypotenuse = 2x= 2(18)= 36

The length of the hypotenuse = 36