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In triangle ABC , AB = 7 , BC = 8, and the length of median AM  is \(3\). Find AC.

 Apr 23, 2022
 #1
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If i'm not wrong, you might be able to use the pythagorum therum. a^2+b^2=c^2 (7^2+8^2=AC^2) correct me if im wrong though!

 Apr 23, 2022
 #2
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                       B

                              4

              7                     M

                       3                     4

A                                                      C

 

Triangle   ABM   would have sides of  AB = 7    AM = 3   and   BM = 4

 

But, by the triangle inequality, this is  impossible......so what you have described is impossible

 

cool cool cool

 Apr 24, 2022

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