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In the given figure ∠BAD = ∠CAD. AB = 4 cm, AC = 5.2 cm, BD = 3 cm. Find BC.
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- 6.9 cm
- 9.6 cm
- 3.9 cm
- 9.3 cm
- None of these
Correct Option: A
According to question, Given that
∠BAD = ∠CAD. AB = 4 cm, AC = 5.2 cm, BD = 3 cm
In ΔABC, AD is the bisector of ∠A
| AB | = | BD | (Internal bisector prop.) |
| AC | CD |
| 4 | = | 3 | ⇒ DC = 3.9 cm |
| 5.2 | DC |
But BC = BD + CD = 3cm + 3.9 cm = 6.9 cm
