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Question

The two sides of a triangle are 5 cm and 12 cm. Which of the following can be the third side of the triangle?

A
5 cm
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B
10 cm
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C
13 cm
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D
4cm
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Solution

The correct options are
B 10 cm
C 13 cm
In any triangle, the sum of the two sides is always greater than the third side.
5 + 5 < 12 - hence, the third side cannot be 5
4 + 5 < 12 - hence, the third side cannot be 4
10 + 5 > 12 - hence, the third side can be 10
12 + 5 > 13 - hence, the third side can be 13

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