Question

4.In a ∆ABC ,AD is the bisector of ∠BAC .If AB =8 cm and BD =6 cm and DC=3cm .The length of the side AC is ​

Answer 1

Step-by-step explanation:

Here, we can see that ∠BAC is bisected by AD where AD touches BC at D. BC=BD+DC where, BC=3cm . We also have the values of adjacent sides AB=6cm and AC=5cm .

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

ABBD=ACDC

⇒DC=AC∗BDAB=5∗36=2.5cm

Answer 2

Answer:

The length of side AC is = 4cm

Step-by-step explanation:

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