Question

12. In the given trapezium ABCD, AB | CD and
AB = 13 cm, BC = 10 cm and DC = 7 cm. Find its
area.
D 7 cm C
10 cm
А A
13 cm
B​

Answer 1

Answer:

It is given that ABCD is a trapezium and AB∣∣DC.  

In △AOB and △COD

∠ABO=∠CDO      (Alternate angles)

∠BAO=∠DCO        (Alternate angles)

∠AOB=∠COD        (Vertically opposite angles)

Therefore, △ABC∼△COD