Table of Contents
- 1 What is the first step when constructing an Incircle of a triangle?
- 2 How do you construct a circle?
- 3 What are the steps for constructing an inscribed circle in triangle ABC using only a compass and a straightedge?
- 4 What are the steps involved in constructing a Circumcircle and Incircle?
- 5 What is the second step in circumcircle construction?
What is the first step when constructing an Incircle of a triangle?
Step 1: Construct the incircle of the triangle △ABC with AB=7cm, ∠B=50o and BC=6cm. Step 2: Draw the angle bisectors of any two angles (A and B) of the triangle and let these bisectors meet at point I. Step 3: From the point I drop a perpendicular ID on AB. This circle will touch all three sides of the triangle.
How do you construct a circle?
Construction of a Circle
- Mark a center point.
- Spread the compass according to the convenience or given radius.
- Measure the distance between the tips of the compass and the pencil using the ruler to align with the desired radius.
- Place the metal tip on the center point.
What is the second step in Circumcircle construction?
Construction of Perpendicular Bisector Step-2: By taking the compass of radius equals to more than half of the length of the given line and placing the tip of the compass at one point of the line (say A), draw an arc above and below the given line.
What are the steps for constructing an inscribed circle in triangle ABC using only a compass and a straightedge?
Bisect another angle. Where they cross is the center of the inscribed circle, called the incenter. Construct a perpendicular from the center point to one side of the triangle. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!
What are the steps involved in constructing a Circumcircle and Incircle?
Answer:
- Draw perpendicular bisector of AB.
- Draw perpendicular bisector of BC.
- The point of intersection is the circumcenter. Name it as O. With O as center and OC as radius, draw a circle.
- The circle passes through A,B and C and is thus the circumcircle of this triangle. We measure the circumradius, OC = 3.77cm.
How do you construct the inscribed and circumscribed circles of a triangle?
Inscribed and Circumscribed Triangles
- Draw the triangle.
- Draw the perpendicular bisector to each side of the triangle. Draw the lines long enough so that you see a point of intersection of all three lines.
- Draw the circle with radius at the intersection point of the bisectors that passes through one of the vertices.