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Question
Which of the following sets of sides form a triangle?
Which of the following sets of sides form a triangle?
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Solution
The correct option is B 3 cm, 4 cm, 5 cm
In a triangle, the sum of any two sides must always be greater than the third side.
a) 2 cm + 3 cm = 5 cm
b) 3 cm + 4 cm > 5 cm
c) 1 cm + 1 cm = 2 cm
d) 3 cm + 4 cm < 8 cm
∴ Only the set 3 cm, 4 cm, 5 cm follows "the sum of any two sides of a triangle is greater than the third side" criteria.
Thus, this set forms a triangle.
In a triangle, the sum of any two sides must always be greater than the third side.
a) 2 cm + 3 cm = 5 cm
b) 3 cm + 4 cm > 5 cm
c) 1 cm + 1 cm = 2 cm
d) 3 cm + 4 cm < 8 cm
∴ Only the set 3 cm, 4 cm, 5 cm follows "the sum of any two sides of a triangle is greater than the third side" criteria.
Thus, this set forms a triangle.
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