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Find the area of a rhombus …

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Find the area of a rhombus whose one side is measure 5cm and other is 8cm.

Posted by Uttarkhand Uk 4 years, 11 months ago

CBSE > Class 08 > Mathematics

2 answers

Anju Gahlot 4 years, 11 months ago

0Thank You

Yogita Ingle 4 years, 11 months ago

Let ABCD be the given rhombus with diagonals AC and BD which intersect each other at O such that AC = 8 cm.

Since diagonals of a rhombus bisect each other, we get

Let BO = x and AB = 5 cm (given).

We know that diagonals of a rhombus cut each other at right angles. So ΔAOB is a right angled triangle.

Using Pythagoras theorem in ΔAOB, we get

x = 3 cm

Thus the length of another diagonal BD is,

BD = 2x = 6 cm.

Therefore the area of the rhombus is given by,

Area of rhombus =

Area(ABCD) =

Area of a rhombus is 24 .

1Thank You

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