Pythagorean theorem

Question

triangle JKL above represents the boundary of a state wilderness area. An access road will be constructed that intersects side JK at a 90 degree angle and extends to point L. The road will intersect side JK 24 miles from point K, and the length of side KL is 30 miles

What is the length, in miles, of side JK? Show work.

Answer 1

After drawing it up; it's trig. So a^s+b^2=c^2. In this case c^2-b^2=a^2.

30^2-24^2+=a^2

900-576=324^.5=18 miles (L down)

As for JK all there is to work with is side "a" and the right-angle. Even if I had the area of the complete triangle; I could figure the 2nd triangle.