In a triangle, base 25 cm and height 12 cm, the perpendicular from the base to the opposite vertex divides the base in the ratio 3:2. How long are the other two sides (to 1dp)?

Pythagoras Theorem is about a property of all triangles with a right-angle. If a triangle has one angle which is a right-angle (i.e. 90o) then there is a special relationship between the lengths of its three sides. This theorum is named after the Greek mathematician, Pythagoras.