They also have three equal altitudes; Is the height of an equilateral triangle equal to its side length. Problem: Finding the area of an equilateral triangle when only THREE SIDES are known. Find the altitude of a triangle if its area is 120sqcm and base is 6 cm. [23] : p. 19 I’m on an equilateral-triangle-questions streak lately lmao. Area of Equilateral Triangle. Equilateral triangle formulas. The formula is given below: Area of an Equilateral Triangle. For an equilateral triangle, all angles are equal to 60°. 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.. The equilateral triangle is the only acute triangle that is similar to its orthic triangle (with vertices at the feet of the altitudes) (the heptagonal triangle being the only obtuse one). We can find the altitude of the equilateral triangle, whose sides is $a,$ using the formula $h=\dfrac{a\sqrt{3}}{3}$ No It is easy to imagine with everything being equal that the height, and the side length would be equal, but they are not. Hence, Altitude of an equilateral triangle formula= h = √(3⁄2) × s (Solved examples will be updated soon) Quiz Time: Find the altitude for the equilateral triangle when its equal sides are given as 10cm. In the below example, let the length of the sides be 4 cm. Triangle Equations Formulas Calculator Mathematics - Geometry. The amount of space occupied in a two dimensional plane of an equilateral triangle is called the area of equiangular or equilateral triangle. Draw the altitude from B forming BD. The altitude of a triangle, or height, is a line from a vertex to the opposite side, that is perpendicular to that side.It can also be understood as the distance from one side to the opposite vertex. Altitude of an Equilateral Triangle Formula. 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