## How do you find the coordinates of an equilateral triangle?

If the triangle were equilateral then 2|AO| = |AC|. Since \triangle AOC is a right triangle, the Pythagorean Theorem says that |OC|^2 + |AO|^2 = |AC|^2. and \sqrt{3} = \frac{|OC|}{|AO|}. If \triangle ABC were equilateral then |AC| = |AB| and |AO| = \frac{|AB|}{2} are rational numbers.

## Are all equilateral triangles 180 degrees?

Is equilateral triangle 180 degrees? An equilateral triangle has three angles. Each of these angles equal 60 degrees for a total of 180 degrees. Every triangle’s three angles should always equal 180 degrees.

What are the points of an equilateral triangle?

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°….

Equilateral triangle
Area
Internal angle (degrees) 60°

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

Substituting the value of y in equation (1) and equating it to 26. 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). Answer.

### How do you find the third side of an equilateral triangle?

Angles of Equilateral Triangle: A = B = C = 60 degrees. Sides of Equilateral Triangle: a equals b equals c….Given the side of the triangle, find the perimeter, semiperimeter, area, and altitude.

1. a is known here; find P, s, K, h.
2. P equals 3a.
3. s = 3a/2.
4. K = (1/4) * √3 * a2.
5. h = (1/2) * √3 * a.

### What is the length of one side of an equilateral triangle?

Hence the length of side of an equilateral triangle is one- third of the perimeter of the triangle. Example: If the perimeter of an equilateral triangle is given to be 105 sq.

Is each angle of an equilateral triangle 60 degrees?

Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.

Is a triangle 3 equal sides?

An equilateral triangle has three equal sides and angles. It will always have angles of 60° in each corner.

#### Are all sides of an equilateral triangle equal?

In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. The sides of an equilateral triangle are congruent.