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Ive tried finding the intersection point that I labeled I.
first try:
Because I know the points A and M1 I found AM1
Then I said AM1 = AI + IM1 and proceeded to solve and came up with
16 = 2(I_{1})^{2} +I_{2})^{2} + I_{3})^{2})  10I_{1}  8I_{2}  3I_{3} +√(blah blah blah)
Second attempt:
Law of Cosines
First I found the angle between AB and MC
Second: Used law of cosines
MI^{2} = .......
This way was going to be just as complicated so I stopped.
How can I solve this problem without using the fact that M1 = 1/3MC and IC = 2/3MC or c.m?
first try:
Because I know the points A and M1 I found AM1
Then I said AM1 = AI + IM1 and proceeded to solve and came up with
16 = 2(I_{1})^{2} +I_{2})^{2} + I_{3})^{2})  10I_{1}  8I_{2}  3I_{3} +√(blah blah blah)
Second attempt:
Law of Cosines
First I found the angle between AB and MC
Second: Used law of cosines
MI^{2} = .......
This way was going to be just as complicated so I stopped.
How can I solve this problem without using the fact that M1 = 1/3MC and IC = 2/3MC or c.m?
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