I drew a triangle where J was the right angle, K was the angle across from it....

The only thing possible "across" from the right angle is the hypotenuse (which is also the longest side).

If the right angle is at vertex J, it then follows that KL is the hypotenuse. It would appear, since side KH is given (where H is not a vertex of the triangle), that H is on side KL and is the altitude of JKL.

Use the lengths of the two given sides (one leg and the hypotenuse) of the triangle JHL to find the length of the third side (the other leg) of JHL, which is the length of HL.

You are given the length of one leg of JHK. Label the other two sides with variables. Use these variables to create two equations, based on the Pythagorean Theorem, for triangles JHK and JKL.

This will give you two equations in two unknowns. Solve for the variables.

If you get stuck, please reply

*showing* your work. Thank you.