The bisector of ∠A in ABC meets BC in D. If AB = 15 cm, AC = 13 cm & BC = 14 cm, then DC = ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6.5 cm
[x/y = c/b] → property
Now ,
c = AB = 15 cm
b = AC = 13 cm
Putting the values:
x/y = 15/13
And
x + y = BC = 14
⇒ 15z + 13z =14
⇒ z = 0.5
Hence,
x = BD = 15 x 0.5 = 7.5 cm
y = DC = 13 x 0.5 = 6.5 cm