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The diagonals of a quadrilateral are …

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The diagonals of a quadrilateral are 10 cm and 24 cm long.If they bisect each other at right angles .find the length of each side

Posted by Bisla Chingkheimayum 5 years ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 5 years ago

Let ABCD be the rhombus where AC = 10 cm and BD = 24 cm.

Let AC and BD intersect each other at O.

Now, diagonals of rhombus bisect each other at right angles.

Thus, we have

Since AOB is a right angled triangle, by pythagoras theorem, we have

Hence, AB = 13

Thus, length of each side of rhombus is 13 cm.

2Thank You

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CBSE > Class 08 > Mathematics