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I  is the incenter of ABC. We have CE = 12, AE = 9, and AB = 15. Find BC.

 

 Feb 9, 2022
 #1
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The length of BC is (15*12/9 =) 20.

 Feb 9, 2022
 #2
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Your answer is correct, but can you explain how you've done it? what's the logic behind that?

Kudos, Straight!

Guest Feb 9, 2022
 #3
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I can give a more detailed explanation.

Because BE is an angle bisector, we can use the angle bisector theorem. AB / BC = 9 / 12.

 

If AB = 15, so 15 / BC = 9 / 12

 

Thus, BC = 20.

 

smiley

 Feb 9, 2022
 #4
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Thanks, proyaop! 

Guest Feb 9, 2022

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