Two adjacent sides of a parallelogram are 12 cm and 9 cm and one of the angle is 30o. Find the area of parallelogram.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 54 sq. cm
| Understanding | Application |
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Area of triangle = 12 × 9 × sin30o/2 ⇒ 12 × 9 × /2 × 2 ⇒ 27 cm2 Area of Parallelogram = 2 × Area of triangle Area of Parallelogram = 2 × 27 = 54 sq. cm
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We know that if we draw a diagonal in parallelogram,opposite two triangles are congruent to each other ⇒ Area of triangle = absinø/2 (where a and b are two adjacent sides and ø is angle between them) |