Choose the CORRECT option if the two sides of a triangle are of length 3 cm and 8 cm and the length of its third side is x cm.

  1. 1 < x < 11
  2. x < 11
  3. x > 11
  4. 5 < x < 11

Answer (Detailed Solution Below)

Option 4 : 5 < x < 11
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Detailed Solution

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Given that,

The two sides of a triangle are of length 3 cm and 8 cm and the length of its third side is x cm.

As we know,

Sum of two sides of triangle is always greater than third side of the triangle.

∴ Sum of two sides of triangle > third side of the triangle.

⇒ 3 + 8 > Third side

⇒ 11 > x

Also,

Another case will be,

⇒ x + 3 > 8

⇒ x > 8 - 3

⇒ x > 5

∴ 5 < x < 11

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