Equilateral triangle tool on gsp5 how to#

One leg of that right triangle is equal to height, other leg is half of the side, and the hypotenuse is the equilateral triangle side. We remember that all sides and all angles are equal. Let's start from the trigonometric triangle area formula: area (1/2) a b sin (), where is the angle between sides. Height of the equilateral triangle is splitting the equilateral triangle into two right triangles. Substituting h into the first area formula, we obtain the equation for the equilateral triangle area: area a 3 / 4. The basic formula for triangle area is side a (base) times the height h, divided by 2: It works because the compass width is not changed between drawing each side, guaranteeing they are all congruent (same length). It begins with a given line segment which is the length of each side of the desired equilateral triangle.

Equilateral triangle tool on gsp5 how to#

Scroll down to read more about useful formulas and to get to know what is an equilateral triangle. This page shows how to construct an equilateral triangle with compass and straightedge or ruler. Whether you are looking for the equilateral triangle area, its height, perimeter, circumradius or inradius, this great tool is a safe bet. 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 Pythagorean theorem or using trigonometry. The equilateral triangle calculator will help you with calculations of the regular triangle parameters. The circle inside of your triangle lies tangent to (touches) each of the. What happens to the circle when you make the circle big or small 13.) Now we are going to create another point.

The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4:Īnd the equation for the height of equilateral triangle look as follows: Congratulations You have just drawn a circle inscribed in your triangle 12.) Now, using the pointer tool, drag a vertex of your triangle and move it around.