in triangle ABC, D and E are midpoints of sies AB and AC respectively. P and R are the midpoints of CD and BD respectively. Prove that DEPR is parallelogram
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Step-by-step explanation:
Given: D and F are mid points of AB and AC respectively.
Hence, by mid point theorem, DF∥BC
Also, given BD∥EF
Since, opposite sides are parallel to each other. Hence, BDEF is a parallelogram
Perimeter of BDEF = 2(BD+BE) (opposite sides of parallelogram are equal)
Perimeter of BDEF = AB+BC (D and E are mid points of AB and BC respectively)
Perimeter of BDEF = 16+18
Perimeter of BDEF = 34 cm
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