An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. (1) Since «h» is the height of the equilateral triangle, it … The circumradius of an equilateral triangle is s 3 3 \frac{s\sqrt{3}}{3} 3 s 3 . The area of a triangle, equilateral triangle included, is. A = 1/2 * b * h. For your equilateral triangle, the base is just one side of the triangle. Base and altitude "Half base times height" method: All 3 sides: Heron's Formula: Two sides and included angle: Side-angle-side method: x,y coordinates of the vertices: Area of a triangle- by formula (Coordinate Geometry) or Area of a triangle - box method (Coordinate Geometry) The triangle is equilateral: Area of an equilateral triangle No It is easy to imagine with everything being equal that the height, and the side length would be equal, but they are not. In the equilateral triangle ABC of side «a»: ⇒ S = ½.a.h …. The Euler line degenerates into a single point. 1/2 base * height or 1/2 b * h. Find the area of a equilateral triangle with a side of 8 units.
Given: x + y = 2 .....(1) is the base of the equilateral triangle and (2, - 1) vertex.Putting (2, - 1) in eq. The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60 o angle. The perpendicular representing the height divides this base, and the triangle as well, into two equal halves. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two. Area of equilateral triangle. The area of an equilateral triangle is s 2 3 4 \frac{s^2\sqrt{3}}{4} 4 s 2 3 . The orthocenter, circumcenter, incenter, centroid and nine-point center are all the same point. ... Is the height of an equilateral triangle equal to its side length. The area of an equilateral triangle (S) is calculated from the following figure: We know that the area of a triangle is ½(base x height).
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