Question

Can someone please help

Answer 1

Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.

For the side adjacent to the 30 degree angle, we know that the side length is . Let's take a look at the given options and see which ones fit.

The options that fit are $x\sqrt{3}$ and $7\sqrt{3}$.

For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.

The options that fit are x and 7.

Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.

So, the options that fit are 2x and 14.

Hope this helps! :)