What is vertex of equilateral triangle?

A vertex of an equilateral triangle is (0,0) and the equation of the opposite side is x+y=2 .

Are all sides of an equilateral triangle equal?

Equilateral triangles have sides of all equal length and angles of 60°.

How many sides do an equilateral triangle have?

three sides
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

How do you find the third vertex of an equilateral triangle?

Solving the quadratic equation using the quadratic formula, [-b ± √(b2 – 4ac)]/2a. Hence, the coordinates of the third vertex of the equilateral triangle are ([1 ± √(3)] / 2, [7 ± 5√(3)] / 2). Let the coordinates of the circumcentre of the triangle be (x, y).

How do you find the centroid of an equilateral triangle?

The centre of mass of the equilateral triangle is at a distance of H/3 from the centre of the base of the triangle. H is the height of the triangle. The centroid or the centre of mass divides the median in 2:1 ratio.

How do you write an equilateral triangle?

The easiest way is to use a protractor to draw three 120° angles around the center of the circle, and then connect the three points on the circle where the three angles intersect the circumference. That will result in an inscribed equilateral triangle.

How many triangles does an equilateral triangle have?

In geometry, an equilateral triangle is a triangle in which all three sides have the same length….

What is the equation of the vertex of an equilateral triangle?

One vertex of an equilateral Triangle is (2, 3) and the equation of the line opposite to the vertex is x + y = 2, equation of the remaining two sides are :

What are the sides of an equilateral triangle equal to?

Also, the three angles of the equilateral triangle are congruent and equal to 60 degrees. Suppose, ABC is an equilateral triangle, then, as per the definition; AB = BC = AC, where AB, BC and AC are the sides of the equilateral triangle. And. ∠A = ∠B = ∠C = 60°. Based on sides there are other two types of triangles:

What is the equation for the height of equilateral triangle?

area = (a² * √3)/ 4. and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2, where a is a side of the triangle.

Centroid of Equilateral Triangle The centroid of the equilateral triangle lies at the center of the triangle. Since all its sides are equal in length, hence it is easy to find the centroid for it. To find the centroid, we need to draw perpendiculars from each vertex of the triangle to the opposite sides.

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