z 1 + ω z 2 + ω 2 z 3 = 0. Solution: Given that, the side length “a” is 4 cm. Example 1: Calculate the area of the equilateral triangle whose side is 4cm. Formulas for Equilateral Triangle. Angle: 60°. In our calculations for a right triangle we only consider 2 known sides to calculate the other 7 unknowns. Sides "a" and "b" are the perpendicular sides and side "c" is the hypothenuse. In Geometry, the triangle is a two-dimensional figure with three sides. We know that the area of the equilateral triangle is (√3/4)a 2 Now, substitute the value a = 4 in the formula. Equilateral Triangle Area Calculator is a free online tool that calculates the solution for given inputs within a fraction of seconds. Given a point P in the interior of an equilateral triangle, the ratio of the sum of its distances from the vertices to the sum of its distances from the sides is greater than or equal to 2, equality holding when P is the centroid. Previous: Write a program in C++ to enter two angles of a triangle and find the third angle. Let a be the length of the sides, A - the area of the triangle, p the perimeter, R - the radius of the circumscribed circle, r - the radius of the inscribed circle, h - the altitude (height) from any side.. 1. Calculates the area, perimeter and height of an equilateral triangle given the side. To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. [2 marks] (b) Use Castigliano's 2nd theorem to find the load in member AB. 3. PA