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+1 vote
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Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

1 Answer

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by (49.5k points)
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Best answer

Let ABCD be the rectangle. 

AB = 7 cm, BC = 24 cm 

In ∆ABC, ∠B = 90° [Angle of a rectangle] 

AC2 = AB2 + BC2 [Pythagoras theorem] 

= 72 + 242 = 49 + 576 = 625 

AC = √625 [Taking square root of both sides] 

= 25 cm 

∴ The length of the diagonal of the rectangle is 25 cm.

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