![]() The area of a right triangle can be calculated using the formula: Area. Let's start with the trigonometric triangle area formula:Īrea = (1/2) × a × b × sin(γ), where γ is the angle between the sides. Triangles Right Angled Triangles Interactive Triangles Isosceles Triangle Quadrilaterals Rectangle Rhombus Square Parallelogram Trapezoid Calculating Perimeter. The lengths of the legs and the hypotenuse are related by the Pythagorean theorem. 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: Note that the variables used are in reference to the triangle shown in the calculator above. See our right triangle calculator to learn more about right triangles. Given the length of two sides and the angle between them, the following formula can be used to determine the area of the triangle. Height of the equilateral triangle is derived by splitting the equilateral triangle into two right triangles. Right triangle calculator to compute side length, angle, height, area, and perimeter of a right triangle given any 2 values. The basic formula for triangle area is side a (base) times the height h, divided by 2: A scalene right triangle is one where all the angles are unequal, and all the sides are unequal in length. An isosceles right triangle is a special isosceles triangle that has two angles that are 45 degrees and legs a and b of equal length. 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. Right triangles can be broken into two categories: isosceles and scalene. Calculate area, perimeter of an isosceles triangle step-by-step. 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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