The length of two sides of a triangle are 10 cm and 12 cm. What can be the length of the third side?

21 cm

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23 cm

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25 cm

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27 cm

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Solution

The correct option is A 21 cm
The sum of the lengths of any two sides of a triangle is always greater than the third side.
That is, the third side < (10 + 12) which is 22 cm.
Among the given options, only 21 cm satisfies this condition.
Hence, the measure of the third side is 21 cm.

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