Q. 4 B4.4( 12 Votes )

In a ΔABC, AD is

Answer :

Given: AB = 10 cm, AC = 14 cm and BC = 6 cm

Since AD bisects A, we can apply angle-bisector theorem in ∆ABC,



Substituting given values, we get



To find BD and DC,


Let BD = x cm, and it’s given that BC = 6 cm, then DC = (6 – x) cm


Then



14x = 10(6 – x)


14x = 60 – 10x


14x + 10x = 60


24x = 60


x = 60/24 = 2.5


BD = 2.5 cm


If BD = 2.5 cm and BC = 6 cm, then DC = (6 – x) = (6 – 2.5) = 3.5


Thus, BD is 2.5 cm and DC = 3.5 cm.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

In the adjoining RD Sharma - Mathematics

State basic propoRD Sharma - Mathematics

In a triangle, thRS Aggarwal - Mathematics

In a ΔABC, it is RS Aggarwal - Mathematics

In a ΔABC it is gRS Aggarwal - Mathematics