please give answer of this only correct answer abc is a triangle of sides ab=26 cm bc=28 cm and ac=25 cm p,q,r are mid point of bc ac and ab. find the length of pq,qr and pr
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Step-by-step explanation:
If R, Q and P are the midpoints of AB, AC and BC, and by applying the theorem:-
The line segment joining the midpoints of two side of a triangle is parallel to the third side and equal to half of it, we get
PQ=
2
1
AB=AR and PQ∣∣AR
PQ=
2
1
AC=AQ and PR∣∣AQ
Since the above conditions are sufficient for a parallelogram, therefore ARPQ is a parallelogram.
∴ Perimeter of ∥
gm
=ARPQ=2(AR+AQ)=AB+AC=(30+21)cm=51cm
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