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In triangle ABC, AB = 10, AC = 12, and BC = 8. Point M is on side BC such that angle BAM = angle CAM. Find BM.

 

Thank you!

 Sep 30, 2020
 #1
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BM = 4*sqrt(3).

 Sep 30, 2020
 #2
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1/   Use the law of cosines to find an angle B.

 

2/    Using the same method, find an angle A. Divide the value of this angle by 2.

 

3/   Now you have a triangle ABM with one known side and all 3 known angles.

 

4/   Using the law of sines, you can calculate the length of BM.

 Oct 1, 2020

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