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In a triangle, `P ,\ Q\ a n d\ R` are the mid-points of sides `B C ,\ C A\ a n d\ A B` respectively. If `A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m ,` find the perimeter of the quadrilateral `A R P Q`

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given In a triangle ABC, `AB=30cm`,`BC=29cm`,`CA=21cm`
as we know line joining midpoint of two sides are parallel to third side so
PQ is parallel to AR and both are equal
AQ||PR and equal here `AR=PQ=15`
`AQ=PR=10.5`
so perimetre of ARPQ`=15+15+10.5+10.5=51cm`
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