If AB = 12 and CB = 10, then the height of the triangle is

We are asked to solve for the height of the triangle such that the AB measurement is 12 units and the CB measurement is 10 units. We will assume that the given triangle is a right triangle so that we can apply hypotenuse theorem c² = b² + a² where c = AB (the hypotenuse), where CB = b and AC is still unknown.

AB² = CB² + AC²

12² = 10² + AC²

AC² = 12² - 10²

AC = 6.63

Therefore the height is 10 units and the base is 6.63 units and the hypotenuse is 12 units.