![]() Let's start with the trigonometric triangle area formula:Īrea = (1/2) × a × b × sin(γ), where γ is the angle between the sides. Substituting h into the first area formula, we obtain the equation for the equilateral triangle area: Using this, the area of a triangle (A) with 3 sides a, b, and c is calculated using the formula A s(s-a)(s-b)(s-c), where s is the semi-perimeter of the. One leg of that right triangle is equal to height, another leg is half of the side, and the hypotenuse is the equilateral triangle side.Īfter simple transformations, we get a formula for the height of the equilateral triangle: Isosceles triangles have their application in determining the angles. ![]() See our right triangle calculator to learn more about right triangles. An isosceles triangle is a triangle which comprises 2 equal sides, regardless of the direction of the apex of the triangle points. To improve this Scalene triangle Calculator, please fill in questionnaire. Height of the equilateral triangle is derived by splitting the equilateral triangle into two right triangles. Calculates the other elements of a scalene triangle from the selected elements. The basic formula for triangle area is side a (base) times the height h, divided by 2: ![]() H = a × √3 / 2, where a is a side of the triangle.īut do you know where the formulas come from? You can find them in at least two ways: deriving from the Pythagorean theorem (discussed in our Pythagorean theorem calculator) or using trigonometry. The formula for a regular triangle area is equal to the squared side times the square root of 3 divided by 4:Īnd the equation for the height of an equilateral triangle looks as follows: ![]()
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