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Find the Length of Diagonal of a Square with Side 8 Cm. - SSC (English Medium) Class 8 - Mathematics

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Question

Find the length of diagonal of a square with side 8 cm .

Solution

Suppose ABCD is a square of side 8 cm.

Here, segment AC is a diagonal of square ABCD.

In ∆ABC, 

l(AC)2 = l(AB)+ l(BC)2               (Pythagoras theorem)

⇒ l(AC)= (8)2 + (8)2 

⇒ l(AC)= 64 + 64 = 128

⇒ l(AC) = \[\sqrt{128}\] cm

Thus, the length of diagonal of square is \[\sqrt{128}\] cm .

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 8: Quadrilateral : Constructions and Types
Practice Set 8.2 | Q: 6 | Page no. 47
Solution Find the Length of Diagonal of a Square with Side 8 Cm. Concept: Some Special Parallelograms - Concept of a Square.
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