Use 1.7 as the value of square root 3 . What is the area of equilateral triangle ABC?


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Duane Bryant answered
Area of an equilateral triangle = 1/2 base x heighth.  The heighth is measured from the apex (top) of the triangle to the mid-point of the base.  Since it's equilateral, all sides are of the same length.  So the mid-point of the base is 4yds.  Since one side, 1/2 the base and the heighth form a right-triangle, A^2 + B^2 = C^2 (C being the hypotenuse).  So C^2 - A^2 = B^2 (B being the heighth) 8^2 -4^2 = B^2..  Take the square root of B^2 and multiply it by half the base (8 yds/2) and that is your answer.

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