# In the given figure, ABCD is a trapezium in which cm,cm and cm. find the area of the trapezium.

Given

BC = 40 cm

AC = 41 cm

ABC = 90

Height = AB =?

Here in ABC using Pythagoras theorem

AC2 = AB2 + BC2

412 = AB2 + 402

AB2 = 412 – 402

AB2 = 1681 – 1600 = 81

AB = 9

We know that area of trapezium is × (sum of parallel sides) × height

Therefore Area of trapezium = × (16 + 40) × 9 = 252 cm2.

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