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