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How would you construct an isosceles triangle if only given the vertex angle and the radius of the circumscribed circle?
Wiki User
∙ 14y ago
You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.
Wiki User
∙ 14y ago
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How many circumscribed circles can a triangle have?
A triangle has exactly one circumscribed circle.
How do you find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r?
It is 5.196*r^2 square units.
The of a triangle is the center of the only circle that can be circumscribed about it.?
no
Is the circumcenter of a triangle the center of the only circle that can be circumscribed?
Yes, it is.
True or False The circumcenter of a triangle is the center of the only circle that can be circumscribed about it.?
true!
To circumscribed a circle about a triangle you use the?
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
How many circumscribed circles can a triangle have?
A triangle has exactly one circumscribed circle.
How do you find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r?
It is 5.196*r^2 square units.
Is the incenter of a triangle the center of the circle circumscribed about the triangle?
No.
If a circle is circumscribed about a triangle the center of the circle is called the of the triangle?
Centre
Is the circumcenter of a triangle the center of the circle circumscribed about the triangle?
Yes.
The of a triangle is the center of the only circle that can be circumscribed about it.?
no
The circumcenter of a triangle is the center of the only circle that can be it?
circumscribed about
The center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle?
true
The circumcenter of a triangle is the center of the only circle that can be circumscribed about it?
True
Is the circumcenter of a triangle the center of the only circle that can be circumscribed?
Yes, it is.
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
