Question

What are the values of x and y?

Answer 1

This is a 30°-60°90° triangle, such that the ratio of the side lengths are $1: \sqrt{3}:2$. If the length of the hypotenuse is 14, then the length of $x$ is 7 units and $y$ is $7 \sqrt{3}$.

If you've never seen a 30°-60°90° triangle before, you can easily derive it by making an equilateral triangle (that is, with all angles of 60°) that has side lengths two. Then, you cut the triangle in half and solve for the hypotenuse using the Pythagorean Theorem.