8 lines
494 B
Markdown
8 lines
494 B
Markdown
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It is easily proved that no equilateral triangle exists with integral length sides and integral area.
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However, the almost equilateral triangle 5-5-6 has an area of 12 square units.
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We shall define an almost equilateral triangle to be a triangle
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for which two sides are equal and the third differs by no more than one unit.
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Find the sum of the perimeters of all almost equilateral triangles with integral side lengths
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and area and whose perimeters do not exceed one billion (1,000,000,000).
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