P is the mid point of side BC of a parallelogram ABCD such that ∠BAP =∠DAP. If AD=10 cm, then CD=
Given,
ABCD is a parallelogram,
P is mid point of side BC
∠BAP = ∠DAP
AD = 10cm
∵ AD││BC
∠DAP = ∠APB [alternate angles]
∠DAP = ∠BAP
AB = BP (side opposite to equal angles)
= BP =
∴ AB =
AB = CD = 5cm (sides of parallelogram)
Hence , CD = 5 cm
31