SOLUTION: In triangle ABC, ray l bisects angle B, and intersects side AC in point D. Prove that AB/BC = AD/DC.
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Question 429744: In triangle ABC, ray l bisects angle B, and intersects side AC in point D. Prove that AB/BC = AD/DC.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Applying the law of sines on triangles ABD and DBC,
The first equation is equivalent to --> . Similarly, the second equation is equivalent to --> . Hence, we have . Cross-multiplying, . Multiplying both sides by we have .
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