![]() ![]() Let's start with the trigonometric triangle area formula:Īrea = (1/2) × a × b × sin(γ), where γ is the angle between the sides. Additional data concerning your triangle: missing sides or angles, side length ratio, area, perimeter gets calculated as well. Substituting h into the first area formula, we obtain the equation for the equilateral triangle area: Our acute triangle calculator will immediately determine if your triangle is acute/obtuse/right as well as scalene/isosceles/equilateral. 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: See our right triangle calculator to learn more about right triangles. Use the formula for the perimeter of the isosceles triangle to find the perimeter of the hanger. We can say that the cloth hanger is an isosceles triangles as it has two equal sides. Height of the equilateral triangle is derived by splitting the equilateral triangle into two right triangles. Solution: The base length of a cloth hanger is 33 cm and the two equal sides are 27 cm. 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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