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Assertion: A triangle with sides 3.2 cm, 4.8 cm, 8 cm can be constructed. Reason: Sum of 2 sides of a triangle is greater than the third side. - Mathematics

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Question

Assertion: A triangle with sides 3.2 cm, 4.8 cm, 8 cm can be constructed.

Reason: Sum of 2 sides of a triangle is greater than the third side.

Options

  • Both A and R are true and R is the correct reason for A.

  • Both A and R are true but R is the incorrect reason for A.

  • A is true but R is false.

  • A is false but R is true.

MCQ
Assertion and Reasoning
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Solution

A is false but R is true.

Explanation:

The triangle inequality states that in any triangle, the sum of the lengths of any two sides must be strictly greater than the third side.

Here:

3.2 + 4.8 = 8.0, which is not greater than 8.

So, Assertion is false (the triangle cannot be constructed), but the Reason is true (the rule itself is correct).

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

APPEARS IN

B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 9 Inequalities
MULTIPLE CHOICE QUESTIONS | Q 12. | Page 104
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