![]() ![]() ![]() 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: 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. Whether you are looking for the triangle height formulas for special triangles such as the right, equilateral or isosceles triangle or any scalene triangle, this calculator is a safe bet it can calculate the heights of the triangle, as well as triangle sides, angles, perimeter, and area. Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a 8 cm c 2 cm h 4 cm. Height of the equilateral triangle is derived by splitting the equilateral triangle into two right triangles. 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: ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |