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7-32.

Calculate the area of an equilateral triangle with side length units. Show all work.

Sketch an image of the triangle similar to the one below.

Triangle, with all sides labeled with 1 tick mark, & left side labeled, 12 units.

Remember the equation for the area of a triangle:

Draw in the height of the triangle. Since this is an equilateral triangle, the height will split the base in half.

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