Question : The lengths of three line segments are given. Is the construction of a triangle possible with the segments in the given cases?
Option 1: 8 cm, 7 cm, 18 cm
Option 2: 8 cm, 15 cm, 17 cm
Option 3: 10 cm, 6 cm, 4 cm
Option 4: 8 cm, 10 cm, 20 cm
Correct Answer: 8 cm, 15 cm, 17 cm
Solution :
As we know 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, the triangle's possible sides are 8 cm, 15 cm, and 17 cm.
Hence, the correct answer is '8 cm, 15 cm, 17 cm'.
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