The three sides of a triangle are 12, 17 and x units. Which of the following options is correct?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 5 < x < 29
  2. 5 ≤ x < 29
  3. 5 ≤ x ≤ 29
  4. 5 < x ≤ 29

Answer (Detailed Solution Below)

Option 1 : 5 < x < 29
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Detailed Solution

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Given:

The three sides of a triangle are 12, 17 and x units.

Concept used:

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

Calculation:

Sum of the two given sides is 12 + 17 = 29,

So third side should be less than 29

And also greatest than 17 - 12 = 5 units

∴ The correct option is 1

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