The area of a rhombus having one side 10 cm and one diagonal 12 cm is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 96 cm2
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Understanding |
Application |
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Given: Diagonal AC = 12 cm Side AB = 10 cm The diagonals of a rhombus bisect each other at right angle. So, AO = 12/2 = 6 cm And ∠AOB = 90° |
In triangle AOB: BO = √(102 – 62) = 8 cm So, Diagonal BD = 8 × 2 = 16 cm |
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Area of rhombus = 1/2 × (Product of diagonals) |
So, Area of rhombus = 1/2 × (12 × 16) = 96 cm2 |
