Height of Isosceles Triangle Calculation

An isosceles triangle has a base length of 12 units. The equal sides each have a length of 10 units. To find the height of the triangle that extends from the apex to the midpoint of the base, you can use the Pythagorean theorem. Consider the right triangle formed by the height, half the base, and one of the equal sides.

To express this mathematically, if $h$ is the height, then:

$$h^2 + 6^2 = 10^2$$