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Two sides of a triangle are of length 4 cm and 10 cm. If the length of the third side is 'a' cm. then   (SSC CGL 1st Sit. 2012)
  • a)
    a > 5
  • b)
    6 ≤ a ≤ 12
  • c)
    a < 5
  • d)
    6 < a < 14
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two sides of a triangle are of length 4 cm and 10 cm. If the length of...
The sum of any two sides of a triangle is greater than third side and their difference is less than third side.
10 – 4 < a < 10 + 4
6 < a < 14
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Community Answer
Two sides of a triangle are of length 4 cm and 10 cm. If the length of...
To determine the range of possible values for the length of the third side, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In this case, let's assume the length of the third side is a cm. Applying the triangle inequality theorem, we have:

4 + 10 > a
14 > a

Therefore, the length of the third side, a, must be less than 14 cm.

So, the correct option is:

a) less than 14 cm.
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Two sides of a triangle are of length 4 cm and 10 cm. If the length of the third side is a cm. then (SSC CGL 1st Sit. 2012)a)a > 5b)6 ≤ a ≤ 12c)a < 5d)6 < a < 14Correct answer is option 'D'. Can you explain this answer?
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