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The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer.

In the case of an equilateral triangle area = (√3)/4 × side²

→ side = √(4×6.5 cm²/√3)

→ perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm

→ The triangle has a perimeter greater than or equal to approx 11.62 cm.

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โˆ™ 2018-01-20 14:38:09
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โˆ™ 2018-01-17 11:12:22

The perimeter of the triangle provides no information on its dimensions: it could be an equilateral triangle with minimum perimeter, or an extremely thin, long triangle with perimeter approaching infinity.

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Q: What is the perimeter of a triangle that has a area of 6.5 cm?
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