Question

Help me i don’t know how to do this

Answer 1

Hi!

y = 16

x = 32

In 30-60-90 triangles, the hypotenuse is double the length of the shortest leg, and the longer leg is $\sqrt{3}$ times the shorter leg.

We are given the longest leg. To find the shortest leg, we must divide the longest leg value by $\sqrt{3}$

$\cfrac{16\sqrt{3} }{\sqrt{3} }$

The radicals cancel out and we are left with 16.

The length of y (the shortest leg) is 16.

Now, we also know that the hypotenuse is double the shortest leg. The shortest leg is 16, so if we double that, it's 32.