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State True or False:
There is a triangle whose sides have lengths of 4.5 cm, 5.8 cm and 10.2 cm.

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True

False

answer is A.

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Detailed Solution

Suppose such a triangle is possible. Then the sum of the lengths of any two sides would be greater than the length of the third side.

Let us check this.

Is 4.5 + 5.8 > 10.2? Yes

Is 4.5 + 10.2 > 5.8? Yes

Is 5.8 + 10.2 > 4.5? Yes

Therefore, the triangle is possible.

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