2021 · Q18
ABC is a triangle right angled at C. Let p be the length of the perpendicular drawn from C on AB. If BC = 6 cm and CA = 8 cm, then what is the value of p?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A5.4 cm
- B5 cm
- C4.8 cm
- D4.2 cm
Explanation
AB = √(6² + 8²) = 10 cm. Equating the two area expressions, ½·6·8 = ½·10·p, gives p = 48/10 = 4.8 cm. Hence option C.