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The lengths of three line segments are given. Is construction of a triangle possible with the segments in the given cases?
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- 8 cm, 7 cm, 18 cm
- 8 cm, 15 cm, 17 cm
- 10 cm, 6 cm, 4 cm
- 8 cm, 10 cm, 20 cm
- 8 cm, 7 cm, 18 cm
Correct Option: B
As we know that the sum of two sides of a triangle is greater than the third side.
Clearly,
(8 + 15) > 17
(15 + 17) > 8
(8 + 17) > 15
Therefore , Triangle possible segments are 8 cm, 15 cm and 17 cm .