2023 · Q56
Let ABC be a right-angled triangle with sides 5 cm, 12 cm and 13 cm. If p is the length of the perpendicular drawn from vertex A on the hypotenuse BC, then what is the value of 13p?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A24
- B48
- C60
- D90
Explanation
The 5-12-13 triangle is right-angled with area ½·5·12 = 30. The altitude p to the hypotenuse satisfies ½·13·p = 30, so p = 60/13. Therefore 13p = 60 (C).