Calculating the Height of an Isosceles Triangle

Triangle DEF is an isosceles triangle where the lengths of the two equal sides are each 10 cm. The base of the triangle, side EF, measures 12 cm. Calculate the height of triangle DEF from vertex D to base EF.

To find the height, drop a perpendicular line from point D to base EF, splitting EF into two equal segments of 6 cm each. Use the Pythagorean theorem for the resulting right triangle.