Question

all properties of equilateral triangle

Answer 1

hello..


Here are some properties of equilateral triangles.

>>In an equilateral triangle, all three sides are equal, by definition.

>>In Euclidean geometry, equilateral triangles are also equiangular that is, all three internal angles are also congruent to each other and are each 60°.

>>An equilateral triangle is a regular polygon, so it has all the properties of regular polygons.for example, since a regular nn-gon has nn lines of symmetry,an equilateral triangle has 33 lines of symmetry.


>>The Altitude, median, angle bisector, and the perpendicular bisector of a given side are all the same line, and is one of the three lines of symmetry of the triangle.


>>The orthocenter, circumcenter, incenter, centroid,and nine-point center are all the same point, so the Euler lineis not defined for an equilateral triangle.>>>

hope this helps

Answer 2

Here are some properties of equilateral triangles.

1.In an equilateral triangle, all three sides are equal.

2.Equilateral triangles are also equiangular; that is, all three internal angles are equal to each other and are each 60°.

3.An equilateral triangle has 3 3 lines of symmetry.

4.The Altitude, median, angle bisector, and the perpendicular bisector of a given side are all the same line, and is one of the three lines of symmetry of the triangle.

5.The orthocenter, circumcenter, incenter, and centroid are all the same point, so the Euler line is not defined for an equilateral triangle.

6.The altitude of an equilateral triangle is (√3/2×s), where s is the side length, so the area of an equilateral triangle is (√3/4×s).

HOPE IT WAS HELPFUL.......... :)