Question

In ABC seg AM the median and AB + AC=410 and BC - 12. then find AM​

Answer 1

1) Since ,AM is median ;

=> BM = MC= BC/2 =24/2 =12 units .

2) By Apollonius's Theorem,

AB^{2} + AC^{2} = 2(AM^{2} + BM^{2}

22^{2} + 34^{2} = 2( AM^{2} + 12^{2})

AM^{2} = 1640}{2}-144=676

AM = 26