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Question

# Ram wants to fence his triangular garden. If two of the sides measure 5 feet and 7 feet, then which of the following is a possible option for the length of the third side?

A
10 feet
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B
12 feet
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C
13 feet
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D
15 feet
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Solution

## The correct option is A 10 feetThe sum of any two sides of triangle should be greater than the third side. If we consider the first option, this condition holds as shown below: 5 feet + 7 feet = 12 feet > 10 feet 5 feet + 10 feet = 15 feet > 7 feet 10 feet + 7 feet = 17 feet > 5 feet But, if we consider the triplet 5 feet, 7 feet and 12 feet, since 5 feet + 7 feet = 12 feet ≯ 12 feet. Similarly, we can rule out the other options.

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