Which of the following can be the third side of the triangle when two sides are 10 cm, 5 cm?

7 cm

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2 cm

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1 cm

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4 cm

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Solution

The correct option is A 7 cm
The sum of the two sides of a triangle is always greater than the third side and difference between any two sides of a triangle is lesser than the third side.
Hence, the third side should be between 5 cm (10 - 5) and 15 cm (10 + 5).
Among the given options, only 7 cm satisfies this condition.

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