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Consider a triangle and cyclic rectangle of area A. If there is a threefold increase in all the sides of the rectangle as well as the triangle, then the area of the triangle is
  • a)
    Less than or equal to the area of the rectangle
  • b)
    Greater than or equal to area of the rectangle
  • c)
    Greater than the rectangle
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider a triangle and cyclic rectangle of area A. If there is a thre...
Consider a rectangle of length l cm and breadth b cm.  Its area = A = l x b.
A threefold increase in its sides will make the new length equal to 3l and the new breadth equal to 3b. New area of the rectangle = 9(l x b) = 9A. Similarly, consider a triangle of sides a cm, b cm and c cm. 
A threefold increase in its sides will make the new sides equal to 3a, 3b and 3c.
Area of the triangle will be equal to the area of the rectangle. Hence, option 4.
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Consider a triangle and cyclic rectangle of area A. If there is a threefold increase in all the sides of the rectangle as well as the triangle, then the area of the triangle isa)Less than or equal to the area of the rectangleb)Greater than or equal to area of the rectanglec)Greater than the rectangled)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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