2019 · Q48
ABC is a triangle right-angled at B. If AB = 5 cm and BC = 10 cm, then what is the length of the perpendicular drawn from the vertex B to the hypotenuse?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A4 cm
- B2√5 cm
- C4/√5 cm
- D8 cm
Explanation
Hypotenuse = sqrt(25+100) = 5.sqrt(5). Altitude to hypotenuse = (product of legs)/hypotenuse = 50/(5.sqrt(5)) = 2.sqrt(5) cm.