Any right triangle resting on a leg.
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The altitude line is perpendicular to the base and bisects the apex of the isosceles triangle.
Given an altitude of 12 units, an equilateral triangle has side lengths of 13.9 (13.85641) units.
Each side of the triangle is 16.16581 units in length.
Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.
The length of each side is 9.2376 cm. (rounded)