Circumscribe a Circle on a Triangle
Q. What is true about isosceles triangles?
In geometry, an isosceles triangle is a triangle that has two sides of equal length. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.
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Q. What is the Orthocenter of an isosceles triangle?
It appears that all acute triangles have the orthocenter inside the triangle. Depending on the angle of the vertices, the orthocenter can “move” to different parts of the triangle. Isosceles Triangle: The orthocenter lies inside the triangle, as it does for all other acute triangles.
Q. What is the Circumradius of an isosceles triangle?
The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. Since every triangle is cyclic, every triangle has a circumscribed circle, or a circumcircle.
Q. How do you find the radius of a circle circumscribed about an isosceles triangle?
The circumscribed circle’s radius of an isosceles triangle lies at the point of intersection of the perpendicular bisectors drawn to the side of the triangle. In an isosceles triangle, the height drawn to the base is the perpendicular bisector.
- Construct the perpendicular bisector of one side of triangle.
- Construct the perpendicular bisector of another side.
- Where they cross is the center of the Circumscribed circle.
- Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!
Q. Where is the centroid of a right isosceles triangle?
The centroid of a right angle triangle is the point of intersection of three medians, drawn from the vertices of the triangle to the midpoint of the opposite sides.
