2013 · Q83
ABC is a right-angled triangle such that AB = a−b, BC = a and CA = a+b. D is a point on BC such that BD = AB. The ratio BD:DC for any value of a and b is
Elementary MathematicsGeometry
- A3:2
- B4:3
- C5:4
- D3:1
Explanation
Pythagoras gives b=a/4; BD:DC=(3a/4):(a/4)=3:1. Answer D.