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:

Solution (By Examveda Team)

(∴ Rhombus is a parallelogram ∴ area of Rhombus = base × height)
Area of Rhombus
= base × height
= 6.5 × 10
= 65 cm²
Also area of Rhombus = $$\frac{1}{2}$$ × d₁ × d₂
⇒ $$\frac{1}{2}$$ × 26 × d₂ = 65
⇒ 13 × d₂ = 65
⇒ d₂ = 5 cm