Yes it can; in fact it would be called an obtuse triangle.
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Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)
A triangle with 2 equal side lengths is called an isosceles triangle.
Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.
An isosceles triangle has 2 equal sides and 1 side different in length
-- Area of a triangle = 1/2 of (length of the base times height) -- Perimeter of a triangle = (length of one side) + (length of another side) + (length of last side)