The length of one side of a rhombus is 6.5 cm and its altitude

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The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be :

1. 5 cm
2. 10 cm
3. 6.5 cm
4. 26 cm

Correct Option: A

We know that if all the sides of a parallelogram are equal, it is called a rhombus.
Area = Base × Height = 6.5 × 10 = 65 cm²
Let the diagonals of the rhombus be d₁ and d₂.

∴ Area =	1	d₁d₂
	2

⇒ 65 =	1	× 26 × d₂
	2

⇒ d₂ =	2 × 65	⇒ d₂ = 5
	2

Hence, other diagonal of rhombus = 5 cm.