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A triangle has three different integer side lengths and a perimeter of 20 units. What is the maximum area of the triangle?

 Nov 11, 2020
 #1
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A triangle has three different integer side lengths and a perimeter of 20 units. What is the maximum area of the triangle?

 

sides are 5, 7, 8       area = 17.321 sq units

 Nov 12, 2020
 #2
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The maximum area would be that of an isosceles triangle with sides, 7, 7 and 6. Using Heron's Formula we get the area =18.974 units^2

 Nov 12, 2020
 #3
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A triangle has three different integer side lengths and a perimeter of 20 units. What is the maximum area of the triangle?

Guest Nov 12, 2020

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