It is possible depending on what type of triangle it is.
For instance if it was an equilateral triangle then all sides would be equal and then by means of Pythagoras' theorem you could work out the height of the triangle and using the formula: 1/2*base*height = area
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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.
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
That depends on what type of triangle is if the side given is equal to the perimeter divided by 3 then it is an equilateral triangle.
If you know the lengths of 2 sides and the included angle then use: Area of a triangle = 1/2*a*b*sinC
In general you cannot find the perimeter of any shape if only the area is given.