The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the triangle compare to the longest side?

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12-04-2018
Mathematics

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The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the triangle compare to the longest side?

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MrGumby MrGumby · Answer 1 · 2018-04-12T15:09:04+02:00

MrGumby MrGumby

12-04-2018

The longest side is 1/2 of the overall length of the perimeter.

You can get this by making the shortest side equal to x, which makes the second side 2x and the longest side 3x.

However, ti should be noted that this triangle could not exist since the lengths of the two shorter legs would not be greater than the 3rd side.

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