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There is only one possible circle that can be inscribed in any triangle because all of the sides of the triangle must touch the circle at some point. Also, there is only one "incenter" of each circle. The incenter is the center of an inscribed circle.
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What can be said about the relationship between triangle and circles?
Exactly one circle can be inscribed in a given triangle.Many triangular shapes can be inscribed in a given circle.
Can many circles be inscribed in a given triangle?
Only one circle will touch all three sides.
Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
True or false Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
False
Can many circles be circumscriibed about a given triangle?
false
What is A triangle with one abtuse angle and three different sides?
A scalene triangle would fit the given description
How many circles can be drawn through one given point?
infinite.. you can have different sizes of circles crossing at the same point.. so it can literally be an infinite amount
Given the three numbers z1 z2 z3 show that these complex numbers are vertices of an equilateral triangle inscribed in a circle centered at the origin and radius r?
You cannot show it in general since it need not be true!
What is a flat piece of inscribed metal given as honor or reward?
A flat piece of inscribed metal given as an honor or reward is commonly known as a medal. Medals are typically awarded to recognize achievements, acts of bravery, or contributions in various fields such as sports, military service, or academics.
Is circle circumscribed about given triangle will all have centers equal to the inercenter but can have different radii?
true
If a circle is tangent to each side of a given polygon then?
the circle is inscribed in the polygon :]
What is a shape called with three sides that are all different lengths?
The description given fits that of a scalene triangle.
