Need help with Geometry homework

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znavv41

Mathematics

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 Mid-point theorem:The midpoints  of two adjacent sides of a triangle are jointed by a line segment, which is parallel to the third side and equal to the half of this side. 

So MN=AB/2

OM=BC/2

ON=AC/2

perimeter of NOM=OM+MN+ON=(AB+AC+BC)/2

The perimeter of NOM=perimeter of ACB/2 

perimeter of NOM=46/2=23

The right answer is b. 

Please let me know if you need any clarification. I'm always happy to answer your questions.


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