Question

But for real, quick question for fifty points.

Answer 1

8√3

Explanation:

adj = 16√3 ÷ 2 = 8√3

Answer 2

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

`\displaystyle x√(3)=16√(3)`

divide both sides by √3:

`\displaystyle (x√(3))/(√(3))=(16√(3))/(√(3))`

`\displaystyle x=16`

hence,

the length of the shorter leg is 16