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In triangle ABC, AN and BM are medians. If AC + BC = 24, then which is CM + CN?

http://i234.photobucket.com/albums/ee155/dramaqueen12572/triangle.jpg

2007-12-18 07:28:10 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

Because the constructed lines are medians, point M will be a midpoint of AC, and point N will be a midpoint of BC

In other words.
CM is half of AC --> AC/2
CN is half of BC --> BC/2

Adding them together:
CM + CN = (AC)/2 + (BC)/2
CM + CN = (AC + BC) / 2
CM + CN = 24 / 2
CM + CN = 12

2007-12-18 07:34:09 · answer #1 · answered by Puzzling 7 · 1 0

If you draw line from M to N
you well get a new triangle named MCN
because M is in the meddle of line AC
also N is in the meddle of the BC
therefor
CM = CN
AC = 2CM
BC = 2CN
AC + BC = 24
2CM + 2CN = 24
then to make this equation is correct then
CM = CN = 6
Therefor
CM + CN
= 6 + 6 =12

2007-12-18 15:59:29 · answer #2 · answered by Rayan Ghazi Ahmed 4 · 0 0

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