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Perpendicular dropped on the base of a parallelogram from the opposite vertex is known as the corresponding ______ of the base. - Mathematics

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Question

Perpendicular dropped on the base of a parallelogram from the opposite vertex is known as the corresponding ______ of the base.

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Solution

Perpendicular dropped on the base of a parallelogram from the opposite vertex is known as the corresponding height/altitude of the base.

Explanation:

In a parallelogram, the altitude (also called the height) is the perpendicular distance between a side (called the base) and the opposite side (or the line containing the opposite side).

  • It is drawn from a vertex to the line containing the opposite side.

  • This perpendicular segment is the altitude corresponding to the base.

Example:

In a parallelogram ABCD:

  • If AB is the base, then the perpendicular drawn from C to AB (or its extension) is the altitude corresponding to AB.

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Chapter 9: Perimeter and Area - Exercise [Page 275]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 43. | Page 275

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