How do you find the center of an equilateral triangle?
Easy! Measure the mid-points of all three sides of the triangle. Then draw a line from each of those midpoints on the lines to their opposing angles. The three lines you draw should intersect in the exact middle of the equilateral triangle.
What do the sides of an equilateral triangle add up to?
Explanation: Since this is an equilateral triangle, all of the sides and all of the angles would be equal (60 degrees each since the 3 angles must add up to 180 degrees).
How to construct an equilateral triangle inscribed in a given circle?
How to construct (draw) an equilateral triangle inscribed in a given circle with a compass and straightedge or ruler. This is the largest equilateral that will fit in the circle, with each vertex touching the circle. This is very similar to the construction of an inscribed hexagon, except we use every other vertex instead of all six.
Are the interior angles of an equilateral triangle congruent?
All interior angles of an equilateral triangle are 60°. SAS See Test for congruence, side-angle-side. Triangles BOD, DOF and BOF are congruent. The sides are all equal radii of the circle, and from (9), the included angles are congruent. See Test for congruence, side-angle-side
What is the shape of equilateral triangle?
Equilateral Triangle Shape. *Length units are for your reference only since the value of the resulting lengths will always be the same no matter what the units are. Calculator Use. An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees.
Where does the centroid of an equilateral triangle lie?
The centroid of an equilateral triangle lies on the medians, which are also perpendicular to the bases, and splits the medians into two segments measuring ⅓ of the length and ⅔ of the length, respectively.