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Mathematics

The diagonal of a rhombus is 15 cm and its area is 60 cm2; the other diagonal of the rhombus is :

  1. 4 cm

  2. 8 cm

  3. 12 cm

  4. 16 cm

Area Trapezium Polygon

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Answer

Given:

The diagonal of a rhombus = 15 cm.

The area = 60 cm2

Let the other diagonal of the rhombus be d.

The diagonal of a rhombus is 15 cm and its area is 60 cm2; the other diagonal of the rhombus is : Area of a Trapezium and a Polygon, Concise Mathematics Solutions ICSE Class 8.

As we know, the area of a rhombus = 12\dfrac{1}{2} x product of its diagonals

12\dfrac{1}{2} x (15 x d) = 60

152\dfrac{15}{2} x d = 60

⇒ d = 60×215\dfrac{60 \times 2}{15} cm

⇒ d = 12015\dfrac{120}{15} cm

⇒ d = 8 cm

Hence, option 2 is the correct option.

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