Equilateral Triangle Properties
All three sides are equal.All three angles are congruent.The figure has three lines of symmetry.
An equilateral triangle is a type of triangle where all the sides are equal in length. Here are some of the properties of equilateral triangles:
1. Every angle in an equilateral triangle is 60 degrees. This means the triangle is also an acute triangle.
2. The centroid of an equilateral triangle (the point where the three medians meet) is also the center of mass of the triangle.
3. The circumcenter (the center of the circle that passes through all three vertices) is also the same as the centroid.
4. The incenter (the center of the circle that is tangent to all three sides) is also the same as the centroid and circumcenter.
5. The area of an equilateral triangle can be found using the formula: A = √3/4 x s^2, where s is the length of one side.
6. The altitude (height) of an equilateral triangle is √3/2 times the length of one side.
7. An equilateral triangle can be divided into two congruent 30-60-90 degree right triangles by drawing an altitude from one vertex to the opposite side.
8. The side length of an equilateral triangle can be found by dividing the perimeter by three.
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