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Question

For a parallelogram ABCD, AB=3cm, BC=4cm and AC=5cm. Then ABCD is a

A
Rectangle
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B
Rhombus
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C
Trapezium
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Solution

The correct option is A Rectangle
As measure of sides of ΔABC are 3cm,4cm and 5cm,
Since (3,4,5) is a Pythogorian triplet, by the converse of Pythagoras theorem ABC forms a right angled triangle, right angled at B.
B=90.Thus all the angles of ABCD become 90 and AB BC.
ABCD is a rectangle.

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