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In a triangle the lengths of two sides are 4 cm, 8 cm. ∴ The third side can be ______. - Mathematics

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Question

In a triangle the lengths of two sides are 4 cm, 8 cm. ∴ The third side can be ______.

Options

  • 4 cm

  • 3 cm

  • 3.5 cm

  • 4.5 cm

MCQ
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Solution

In a triangle the lengths of two sides are 4 cm, 8 cm. ∴ The third side can be 4.5 cm.

Explanation:

In any triangle,

Difference of two sides < Third side < Sum of two sides

For sides 4 cm and 8 cm:

Difference = 8 − 4 = 4

Sum = 8 = 4 = 12

So, 4 < Third side < 12

The third side can be 4.5 cm.

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Chapter 9: Inequalities - MULTIPLE CHOICE QUESTIONS [Page 104]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 9 Inequalities
MULTIPLE CHOICE QUESTIONS | Q 1. | Page 104
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