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A triangle.
The Isosceles triangle only has one possible line of symmetry; and that is through the vortex, AKA: The middle, in a vertical line.
If you mean "altitude", and by that you mean the height of the top of the triangle above its base, then draw a line from the top of the triangle to the base, at right angles to the base, and measure that line. Alternately, the height of a triangle above its base is twice the area divided by the base length.
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
Only one line of symmetry, it is the line that contains the median of the isosceles triangle (that passes through the vertex and perpendicular to the base).