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The vertices of a triangle are (0, 0), (6, 0) and (0, 8). Its perimeter is ______. - Mathematics

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Question

The vertices of a triangle are (0, 0), (6, 0) and (0, 8). Its perimeter is ______.

Options

  • 24 units

  • 20 units

  • 16 units

  • 14 units

MCQ
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Solution

The vertices of a triangle are (0, 0), (6, 0) and (0, 8). Its perimeter is 24 units.

Explanation:

Side between (0, 0) and (6, 0) = 6 units.

Side between (0, 0) and (0, 8) = 8 units.

Side between (6, 0) and (0, 8) = `sqrt((6 - 0)^2 + (0 - 8)^2` 

= `sqrt(36 + 64)` 

= 10 units

Perimeter = 6 + 8 + 10

= 24 units

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Chapter 19: Co-ordinate Geometry: An Introduction - Exercise 19E [Page 405]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 19 Co-ordinate Geometry: An Introduction
Exercise 19E | Q 4. | Page 405
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