Question

If ad is bisector of angle bac of triangle abc then prove that bd /dc =ab /ac apply the above result on the following : if ad is bisector of angle bac of traingle abc , ab =10 cm, ac= 6 cm and bc =12 cm then find bd and dc.​

Answer 1

Answer:

BD=7.5 cm and DC=4.5 cm

Step-by-step explanation:

Angle bisector theorem:

when the vertical angle of a triangle is bisected, the bisector divides the base into two segments which have the same ratio as the order of other two sides

Let,BD = x

Then, DC=12-x

By angle bisector theorem,

3x=60-5x

3x+5x=60

8x=60

x=7.5

BD=7.5 cm and DC=4.5 cm