Question

in the figure below (triangle) D is the midpoint of AC. BD is perpendicular to AC. What is the length of BD if BC=25cm and AC=30cm

Answer 1

Given that D is the midpoint of AC, and AC = 30 cm, then AD = DC = 15 cm

A right triangle is formed, where BD and DC are the legs and BC is the hypotenuse. Using Pythagorean theorem:

BC² = BD² + DC²

25² = BD² + 15²

625 - 225 = BD²

√400 = BD

20 cm = BD