A structural support for a roof is shaped like a triangle with the following side lengths:
- The first side has length (2x−7)(2x - 7)(2x−7) cm.
- The second side has length 37 \sqrt{37}\,37 cm.
- The base has length (x+2)(x + 2)(x+2) cm.
- The interior angle between the side of length (2x−7)(2x - 7)(2x−7) and the base is 60∘60^\circ60∘.