The sum of any two sides of a triangle is:

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 3)
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  1. less than the third side
  2. greater than the third side
  3. equal to third side
  4. less than or equal to third side

Answer (Detailed Solution Below)

Option 2 : greater than the third side
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

The sum of any two sides of a triangle

Formula used:

In a triangle, the sum of any two sides is always greater than the third side.

Calculation:

Let a, b, and c be the sides of a triangle.

According to the triangle inequality theorem:

\(a + b > c\)

\(a + c > b\)

\(b + c > a\)

Therefore, the sum of any two sides of a triangle is greater than the third side.

∴ The correct answer is option 2.

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