## 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.

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