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If Diagonal of a Rectangle is 26 Cm and One Side is 24 Cm, Find the Other Side. - SSC (English Medium) Class 8 - Mathematics

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Question

If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.

Solution

Suppose ABCD is a rectangle.

Here, segment AC is a diagonal and segment AD is one side of the rectangle ABCD.

l(AC) = 26 cm and l(AD) = 24 cm.

In right ∆ACD, 

l(AC)2 = l(AD)+ l(CD)2               (Pythagoras theorem)

⇒ l(CD)= l(AC)2 − l(AD)2

⇒ l(CD)= (26)2 − (24)2 

⇒ l(CD)= 676 − 576 = 100

⇒ l(CD) =  `sqrt(100)` = 10 cm

Thus, the other side of the rectangle is 10 cm.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 8: Quadrilateral : Constructions and Types
Practice Set 8.2 | Q: 4 | Page no. 46
Solution If Diagonal of a Rectangle is 26 Cm and One Side is 24 Cm, Find the Other Side. Concept: Some Special Parallelograms - Concept of a Rectangle.
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