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The base of a triangle is same of the base of a parallelogram having the same area as that of the triangle. The ratio of the corresponding heights of the triangle to the parallelogram will be:
  • a)
    3 ∶ 2
  • b)
    4 ∶ 1
  • c)
    3 ∶ 1
  • d)
    2 ∶ 1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The base of a triangle is same of the base of a parallelogram having t...
Let the base of the triangle be x cm
⇒ Base of the parallelogram = x cm
Let the height of triangle be h cm and height of the parallelogram be H cm.
According to question,
⇒ Area of triangle = Area of parallelogram
⇒ 1/2 × x × h = x × H
⇒ h ∶ H = 2 ∶ 1
∴ Ratio of the corresponding heights of the triangle to the parallelogram is 2 ∶ 1
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The base of a triangle is same of the base of a parallelogram having the same area as that of the triangle. The ratio of the corresponding heights of the triangle to the parallelogram will be:a)3 ∶ 2b)4 ∶ 1c)3 ∶ 1d)2 ∶ 1Correct answer is option 'D'. Can you explain this answer?
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