How Do You Derive The Formula For The Area Of An Equilateral Triangle Complete Guide

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how do you derive the formula for the area of an equilateral triangle. Let one side length of the equilateral triangle is a units. Base h a 3a2 a 2 32.

How To Prove The Area Of An Equilateral Triangle Quora
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The area of this triangle is ½ baseheight ½ s height We need to find the height. Therefore area of triangle ABC h b2. Area base h2.

For a triangle of given three sides say a b and c the formula for the area is given by A s s a s b s c where s is the semi perimeter equal to P 2 a b c2.

Area of an equilateral triangle can be computed by the formula. Area of an equilateral triangle with sides of length s colorwhiteXXXsqrt34s2 Derivation below The common formula for the area of a triangle is colorwhiteXXXArea_triangle base xx height2 For an equilateral triangle with sides of length s base s and the height can be calculated using the Pythagorean Theorem as. Area of an equilateral triangle can be computed by the formula. One of the most interesting and useful properties of an equilateral triangle is that its altitude angle bisector and median from any of its vertices are.