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The Length of the Diagonals of Rhombus Are 24cm and 10cm. Find Each Side of the Rhombus.

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Question

The length of the diagonals of rhombus are 24cm and 10cm. Find each side of the rhombus.

Sum
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Solution

It is given that the diagonals of a rhombus are of length 14cm and 10cm respectively
∴ d1 = 24cm, d2 = 10cm
The diagonals of a rhombus bisect each other

∴ `("d"_1/2)^2 + ("d"_2/2)^2` = side2

⇒ side2
= 122 + 52
= 144 + 25
= 132
⇒ Side = 13
Thus, each side of the rhombus is of length 13cm.

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Chapter 17: Pythagoras Theorem - Exercise 17.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 17 Pythagoras Theorem
Exercise 17.1 | Q 10

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