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It is: 0.5*base*perpendicular height
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
Base times height and divided by 2.
The base length is 5.2643 units and the height is 4.55902 units.