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7-83.

Use Tromika’s method from problem 7-78 to find the area of an equilateral triangle with side length units. Show all work.  

Draw an equilateral triangle.

Draw in the height of the triangle which bisects the base of the triangle. A line segment is drawn from point B perpendicular to side A, C.

Use the Pythagorean Theorem or the triangle pattern to calculate the height of the triangle.

units

Use the height to find the area of the triangle.