The bisector of ∠ A in ∆ABC meets side BC at D. If AB = 12 cm, AC = 15 cm and BC = 18 cm, then the length of DC is :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10 cm
DC/BD = AC/AB
DC/BD = 15/12
DC : BD = 15x : 12x
BC = BD + DC
18 = 12x + 15x
18 = 27x
x = 18/27
x = 2/3
DC = 15x = 15 × 2/3 = 10