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Q: What is the perimeter of a triangle with an area of 924cm?

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The perimeter of a triangle does not provide sufficient information to calculate its area.

From only the perimeter you cannot.

how to find the perimeter of a right angled triangle using the area

You cannot. For a given area, an equilateral triangle will have the smallest perimeter but that perimeter can be increased - without limit - without increasing the area.

no

Area is quadrupled (*4) and perimeter is doubled.

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.

the medial triangle is 1/2 the perimeter of the original triangle and has 1/4 the area of the original triangle

Area of triangle * 2 + perimeter of triangle * length.

Area of triangle * 2 + perimeter of triangle * length.

Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.

Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places

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