What are the angle measures of an equilateral triangle?
60°
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.
What is an equilateral in a triangle?
An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a “regular” triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal.
What is equilateral triangle and its formula?
Formulas and Calculations for an Equilateral Triangle: Area of Equilateral Triangle Formula: K = (1/4) * √3 * a. 2. The altitude of Equilateral Triangle Formula: h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60 degrees. Sides of Equilateral Triangle: a equals b equals c.
What is equilateral angle answer?
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°. It is also a regular polygon, so it is also referred to as a regular triangle….
| Equilateral triangle | |
|---|---|
| Internal angle (degrees) | 60° |
What is the angle measure of a triangle?
180 degrees
Explanation: The angles of a triangle add together to 180 degrees. We already know that one of the angles is 90 degrees, so we can subtract 90 from 180: the other 2 angles have to add to 90 degrees.
What is the value of equilateral triangle?
The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
Why is area of equilateral triangle?
The ortho-centre and centroid of the triangle is the same point. In an equilateral triangle, median, angle bisector and altitude for all sides are all the same and are the lines of symmetry of the equilateral triangle. The area of an equilateral triangle is √3 a2/ 4. The perimeter of an equilateral triangle is 3a.
What is the measure of each angle of an equiangular triangle answer?
60 ̊
In an equiangular triangle, the measure of each of its interior angles is 60 ̊. An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.
What is the measure of an equilateral triangle?
An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees. What does the Area of an Equilateral Triangle Mean?
How many degrees are there in an equilateral triangle?
All three angles are congruent and are equal to 60 degrees. It is a regular polygon with three sides. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves. Also the angle of the vertex from where the perpendicular is drawn is divided into two equal angles, i.e. 30 degrees each.
How are the angles of an equiangular triangle equal?
Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. The sum of all three angles of an equiangular triangle is equal to 180 degrees. Thus, it obeys the angle sum property of triangle.
What makes an equilateral triangle a special case?
An equilateral triangle has all the three sides equal and all angles equal to 60°. All the angles in an equilateral triangle are congruent. An equilateral triangle is the one in which all three sides are equal. It is a special case of the isosceles triangle where the third side is also equal.