What are the attributes of an equilateral triangle?

What are the attributes 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°.

What are the 5 properties of an equilateral triangle?

Properties of an Equilateral Triangle

• Three sides are equal.
• Three angles are equal i.e 60° each.
• A regular polygon having three equal sides.
• Median, angle bisector and altitude are all equal in an equilateral triangle.
• The dividing perpendicular from the angle of the vertex is parted into two equal halves i.e. 30°.

Are all sides of an equilateral triangle equal?

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

What is equilateral triangle class 9?

It has 3 equal sides. It has 3 equal angles. Since the sum of the interior angles is 180 degrees, every angle of an equilateral triangle is 60 degrees. It is a regular polygon with 3 sides.

What are the angles in an equilateral triangle?

Explanation: An equilateral triangle is one in which all three sides are congruent. It also has the property that all three interior angles are equal. In other words, all three angles of an equilateral triangle are always 60°.

How do you describe an equilateral triangle?

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. For example, a triangle with its three sides equal to 5cm is an equilateral triangle. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure.

What is a equilateral triangle for 7th class?

Equilateral Triangle: A triangle in which all three sides are of equal length and three angles are equal. Each angle is 60°

What is the equilateral triangle theorem?

Napoleon’s theorem states that if three equilateral triangles are drawn on the legs of any triangle (either all drawn inwards or outwards) and the centers of these triangles are connected, the result is another equilateral triangle.

What are the characteristics of an equilateral triangle?

The ortho-centre and centroid are at the same point. In an equilateral triangle, median, angle bisector, and altitude for all sides are all the same. The area of an equilateral triangle is √3a 2 / 4 The perimeter of an equilateral triangle is 3a.

What are the defining attributes of a triangle?

Herein, what are the defining attributes of a triangle? Triangles can be classified according to the lengths of their sides: An equilateral triangle has all sides the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°. An isosceles triangle has two sides of equal length.

What is the difference between equilateral triangle and scalene triangle?

An equilateral triangle has all sides the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°. An isosceles triangle has two sides of equal length. A scalene triangle has all its sides of different lengths.

How do you find the height of an equilateral triangle?

Where a is the length of sides of the triangle. The height or altitude of an equilateral triangle can be determined using the Pythagoras theorem. As we know, an equilateral triangle has all equal sides. Now, if we drop an altitude from the apex of the triangle to the base, it divides the triangle into two equal right triangles.