The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. Find its breadth.
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
Expert Answer:
Let ABCD be the given rectangle in which length AB = 8 cm and diagonal AC = 10 cm.
Since each angle of a rectangle is a right angle,
we have ∠ABC = 900 .
From right angled triangle ABC , we have
AB2 + BC2 = AC2
⇒BC2 = AC2 - AB2 = {(10)2 -(8)2} = (100 - 64) = 36
⇒BC = 
= 6 cm.
Hence , breadth = 6 cm.
Answered by | 4th Jun, 2014, 03:23: PM
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