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

23 cm

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15 cm

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25 cm

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32 cm

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Solution

The correct option is A 23 cm
The sum of the lengths of any two sides of a triangle is always greater than the third side.

That is, third side $<$ (10+12) which is 22 cm.

Among the given options only 15 cm satisfies this condition.
Hence, the measure of the third side is 15 cm.

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