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If the base of an isosceles triangle is 11 and its perimeter is 39, then it has a height of 12.87.
No, it does not.
The base is one third of the perimeter, half of the base times the height is the area.
The perimeter of a triangle is a geometric property. The value can be expressed in decimal or binary form, or in any other base.
Assuming that neither of the sides of equal length is the base, Perimeter = Base + 2*Slanted sides.