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A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is

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Question

A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is

Options

  • 1 : 1

  • 1 : 2

  • 2 : 1

  •  1 : 3

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Solution

Given: A triangle and a parallelogram with the same base and between the same parallels.

To find: The ratio of the area of a triangle and a parallelogram with the same base and between the same parallels.

Calculation: We know that,” the area of a triangle is half the area of a parallelogram with the same base and between the same parallels.”

Hence the ratio of the area of a triangle and a parallelogram with the same base and between the same parallels is  1: 2

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Chapter 14: Areas of Parallelograms and Triangles - Exercise 14.5 [Page 60]

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R.D. Sharma Mathematics [English] Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.5 | Q 2 | Page 60

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