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Assuming you mean that you you have two SIMILAR triangles and the areas are related by the ratio 1:4, then you are wanting to know the ratio of the side lengths:

ratio areas = ratio sides²

→ ratio sides = √ ratios area

= √1 : √4

= 1 : 2

The side lengths of the SIMILAR triangle which has 4 times the area of the other has side lengths that are twice the length of the other.

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6y ago
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6y ago

There is not enough information in the question to answer to the question categorically. For example, an equilateral triangle with sides of 2 units has an area of sqrt(3) and a perimeter of 6. A triangle with sides of 1, 13.86 and 13.89 units has an area of 4*sqrt(3) and a perimeter of 28.75 units. There are infinitely more alternative solutions.

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Q: If and the area of is 4 times greater than the area of what is the relationship between the perimeters of the triangles?
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