Answer:
D)16
Step-by-step explanation
we are given a 30-60-90 triangle and the longer side of the triangle
remember the properties of 30-60-90 triangle
- the hypotenuse is twice as much as the shorter leg
- the longer leg is the square root of 3 times shorter leg
as we are given the longer leg we'll use the second property
let the shorter leg be x
so our equation is
divide both sides by √3:
hence,
the length of the shorter leg is 16