Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?

8 cm

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5 cm

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6 cm

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9 cm

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Solution

The correct option is D
9 cm

To construct a triangle, the sum of two sides has to be greater than the third side. If the sum is equal to the third side we cannot construct a triangle as per the concept and one can verify with the help of a construction. The two sides sum will be the length of the third side, and both the segments will meet at a point on the segment.

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