The centroid of any triangle, right triangles included, is the point where the angle bisectors of all three vertices of a triangle intersect. Given a triangle made from a sufficiently rigid and uniform material, the centroid is the point at which that triangle balances.
The sum of the interior angles of an equilateral triangle equals 180 degrees. This stems from the fact that the combined interior angles of any given triangle always add up to this same amount, according to the Monterey Institute for Technology and Education.
The height of an equilateral triangle is equal to the square root of three divided by two and multiplied by the length. The equation for the height of an equilateral triangle is based on the Pythagorean Theorem.
An equilateral triangle has three lines of symmetry. There are three sides of equal length in an equilateral triangle. A line of symmetry is a line such that if a mirror is placed along it, its reflection appears identical to the area behind the mirror.
In order to construct an equilateral triangle within a circle, you will need a compass, a straight edge, and a right angle drafting triangle. In lieu of a drafting triangle, any flat object with a true 90-degree angle, such as a sheet of paper, can be used.
Several types of triangles exist, including scalene, isosceles, equilateral, right, obtuse and acute. Triangles are categorized according to their sides, angles or a combination of both.
The area of a triangle is found by multiplying one-half times its base times its height. According to Wolfram Mathworld, Beyer and Baker there are 110 formulas for the area of a triangle.
The formula for the area of any triangle equals 1/2 the base times the height. For a right triangle, this is easy to remember ,since a right triangle is half of a rectangle on one side of its diagonal, and the area of a rectangle equals base times height.
Find the area of a triangle using the formula (b x h)/2. You need the value of "b," or base, and "h," or height.
The method of determining the centroid depends on the type of area in question. Finding the centroid is conducted through either geometric illustration, the concept of moment, or integral calculus.