The lengths of the diagonals of a rhombus are 24cm and 10cm. The length of each side of the rhombus is (a) 12cm (b) 13cm (c) 14cm (d) 17cm
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Given Data:
The length of diagonals = 24 cm and 10 cm
Now,
0B = 1/2 * BD ( dia. of rhombus bisect at right angles
OB = 1/2 * 24 = 12 cm
Similarly,
OC = 1/2 * AC = 1/2 * 10 = 5 cm
Use Pythagoras theorem to find side:
BC = √12² + 5²
= √144 + 25
= √169
= 13 cm
Hence Length of each side of rhombus is option a i.e 13 cm.
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