It is known that the lengths of the three sides of the triangle ABC are 9cm, 12cm and 15cm. What is the height of the shorter side?

It is known that the lengths of the three sides of the triangle ABC are 9cm, 12cm and 15cm. What is the height of the shorter side?

12x12 + 9x9 = 15x15, in line with Pythagorean theorem, 9cm and 12cm constitute right angles
It is a right triangle with a shorter side length of 12