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The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its :

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The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its : 

(i) length 

(ii) area

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1 Answer

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AC2 = AB2+BC2 (By Pythagoras theorem)

(34)2 = l2 + (16)2 

1156 = l2 + 256

l2 = 1156 – 256

l2 = 900

l = √900 = 30 cm

area = l x b = 30 x 16 = 480 cm2 

(i) 30 cm (ii) 480 cm2 

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