2022 · Q83
ABC is a triangle right angled at B. Let D be the midpoint on AC. If BD = 6.5 cm, then what is AB² + BC² equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A144 square cm
- B169 square cm
- C196 square cm
- D225 square cm
Explanation
The midpoint of the hypotenuse is the circumcentre, so AC = 2x6.5 = 13 cm; then AB²+BC² = AC² = 169. Hence the keyed option is B.