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If Diagonal of a Rectangle is 26 Cm and One Side is 24 Cm, Find the Other Side. - Mathematics

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.

Maharashtra Board Class 8 Maths Solutions Chapter 8 Quadrilateral Constructions and Types Practice Set 8.2 5

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)2 + l(CD)2               (Pythagoras theorem)

⇒ l(CD)2 = l(AC)2 − l(AD)2

⇒ l(CD)2 = (26)2 − (24)2 

⇒ l(CD)2 = 676 − 576 = 100

⇒ l(CD) =  √100 = 10 cm


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