#### 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)^{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)^{ }= `sqrt(100)` = 10 cm

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

Is there an error in this question or solution?

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.