Question

(c)
In the given figure ABCD is a trapezium,
Pis the mid-point of side AD and PR//AB//DC.
(i) Prove that R is the mid-point of side BC
(ii) Find the length of PR, if AB = 12 cm and DC = 8 cm
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Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

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