Question

But for real, quick question for fifty points.

Answer 1

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

$\displaystyle x\sqrt{3}=16\sqrt{3}$

divide both sides by √3:

$\displaystyle \frac{x\sqrt{3}}{\sqrt{3}}=\frac{16\sqrt{3}}{\sqrt{3}}$

$\displaystyle x=16$

hence,

the length of the shorter leg is 16

Answer 2

Answer:

8√3

Step-by-step explanation:

adj = 16√3 ÷ 2 = 8√3