Question

in triangle DABC bisector of DA meets Bc at point D if AB=6cm AC=5cm and BD=3cm then BC= ____ cm

please answer fast​

Answer 1

Answer:

we can see that ∠BAC∠BAC is bisected by AD where AD touches BC at D. BC=BD+DCBC=BD+DCwhere, BC=3cmBC=3cm. We also have the values of adjacent sides AB=6cmAB=6cmand AC=5cmAC=5cm.

These satisfy the requirements of angle bisector theorem. Then, by the theorem, we have:

ABBD=ACDCABBD=ACDC

⇒DC=AC∗BDAB=5∗36=2.5cm