Question

In the given figure ABCD Is a trapezium, P is the mid point of side AD and PRparellelAB parallel DC i) Prove that R is the midpoint of side BC. ii) Find the length of PR, If AB=12cm and DC = 8cm.

Answer 1

Answer:

In triangle DAB,

p is the midpoint of side AD.And PR is parallel to AB.

since PQ = half AB ( Mid point theorem)

Therefore

PQ =12/2=6

so ,PQ =6. equation 1

similarly in DBC

RQ = 8/2=4. equation 2

Then adding equation 1 and 2

so ,PR = PQ +RQcm

PR = 6+4 = 10cm

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