Triangle Question

Question

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843

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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!

Frooglie Sep 30, 2020

Guest · Answer 1 · 2020-09-30T10:22:22

BM = 4*sqrt(3).

jugoslav · Answer 2 · 2020-10-01T06:37:22

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.