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Question

The sides of a rhombus are 5cm and one diagonal is 8 cm. Calculate
(i) the length of the other diagonal and
(ii) the area of the rhombus.

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Solution

Diagonals bisect each other and they are perpendicular in rhombus

Let half the length of second diagonal be x

As two diagonals and a side form right angled triangle ;

x2+42=52

x=3

length of 2nd side =2x=6cm

Area of rhombus =12d1d2

=12×8×6

=24cm2

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