Is the perimeter of a triangle greater than 100?

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Is the perimeter of a triangle greater than 100?

1) The shortest side is greater than 100/3
2) The longest side is greater than 50


* A solution will be posted in two days.
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by sanju09 » Thu Jan 21, 2016 3:37 am
Max@Math Revolution wrote:Is the perimeter of a triangle greater than 100?

1) The shortest side is greater than 100/3
2) The longest side is greater than 50


* A solution will be posted in two days.

(i) If the shortest side is greater than 100/3, other two sides would also be greater than 100/3, thus proving its perimeter to be more than 100. Hence, YES. It's A/D now.

(ii) Since the longest side is greater than 50 and no side is more than the sum of the other two sides in a triangle, hence the sum of other two sides must also be greater than 50, thus proving its perimeter to be more than 100. Hence, YES.

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