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Which of these properties does NOT hold good in a triangle?
Question

Which of these properties does NOT hold good in a triangle?

A.

Sum of any two sides is greater than the third side

B.

Difference of any two sides is less than the third side

C.

Sum of any two sides is equal to the third side

D.

Sum of the angles is 180° always

Correct option is C


In any triangle, let sides be 2, 3, and 4
Sum of any two sides is greater than the third side
⇒2+3=5> 4 or 3+4=7> 2 or 1+ 4 = 6> 3 (true)
:: The difference of any two sides is less than the third side
⇒3-2=1 < 4 or 4-3=1<2 or 4-2 = 2 < 3 (true)
Sum of the angles is 180°
Sum of interior angles of a polygon = (n - 2) × 180° ⇒ For a triangle, n = 3; Sum = (3 - 2) × 180° = 180°
Sum of any two sides is never equal to the third side.

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