Answer:
x = 12
Explanation:
First, we split that triangle to make a scalene, right triangle, then we can use the pythagorean theorem. So now we have three sides; the legs are x and 5 units, and the hypotenuse is 13 units.
Pythagorean theorem: a² + b² = c²
Substitute: 5² + x² = 13²
Simplify: 25 + x² = 169
Subtract: x² = 144
Simplify: x = 12 (-12 doesn't work, lengths must be positive)