e) In the adjoining figure, triangles AMB and ANB
are standing on the same base AB and between
the same parallel lines AB and MN, Prove that
area of A AOM = area of ABON.
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Step-by-step explanation:
Solved example for the triangle and parallelogram on same base and between same parallels:
1. ∆ ABD and parallelogram ABCD are on the same base AB. If base and altitude of the parallelogram are 15 cm and 10 cm, find the area of the triangle.
Solution:
Base of parallelogram = 15 cm
Altitude of parallelogram = 10 cm

Therefore Area of parallelogram = 15 × 10 cm2
= 150 cm2
∆ ABD and parallelogram ABCD are on the same base AB.
Therefore of ∆ ABD = 1/2 the area of parallelogram ABCD
= 1/2 × 150 cm2
= 75 cm2
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