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Mateo is constructing an equilateral triangle inscribed in a circle with center P. What is his first step?
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What is the center of mass of an equilateral triangle?
Center of mass of an equilateral triangle is located at its geometric center (centroid).
What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
What is incenter of triangle?
It is the center of the circle that is inscribed in the triangle.
What is the blank of a triangle is the center of the circle inscribed in the triangle?
incenter
Where must the circles center be placed in an inscribed triangle?
In the middle of the triangle
What is the center of mass of an equilateral triangle?
Center of mass of an equilateral triangle is located at its geometric center (centroid).
What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
What is incenter of triangle?
It is the center of the circle that is inscribed in the triangle.
Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
What is the blank of a triangle is the center of the circle inscribed in the triangle?
incenter
What is the center of a circle inscribed in a triangle?
the answer is circumcenter
Center of circle inscribed in a triangle?
The answer is circumcenter
Where must the circles center be placed in an inscribed triangle?
In the middle of the triangle
If a circle is inscribed in a triangle the center of the circle is called the what of the triangle?
The circumcenter of the triangle.
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
The center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle?
true
Is it true or false that the radius of the circle inscribed an equilateral triangle equals one-half the length of the length of the triangles median?
This is true. The answer is obvious if you think about it the following way: an equilateral triangle has three equal sides, and every point on the circumference of a circle is the same distance from the center of the circle. Therefore, it is safe to assume that the circle will touch the midpoint of each side of the triangle. It also means that the center of the circle will be in the center of the triangle. Therefore, the radius of the circle will travel from the center of the triangle to the midpoint of one of the sides. This will cover the distance of half the triangle's median.
