How to Bisect a Right Triangle

How to bisect a right triangle

       A bisector of a side of a right triangle is a straight line passing through the midpoint of the side and being perpendicular to it, i.e. forming a right angle with it. The three perpendicular bisectors of a right triangle meet in a single point, the triangle's circumcenter; this point is the center of the circumcircle, the circle passing through all three vertices. (Source: From Wikipedia)

                                                                        

Here we are going to see how to draw the bisector of a right triangle.

 

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How to draw a bisector of right triangle:

 

Here we are going to learn how to draw the bisector of a right triangle.

Step 1

Draw any triangle. Here the vertices of the triangle are A, B, and C. So, the sides of the triangle are AB, BC, and CA.

                                                            

Step 2

Now draw bisector for the side AB using a compass.

To draw the bisector, Point the compass in vertex A and then take more than half of the length of that side, and draw two arcs on both sides of the line AB. Without changing the compass measurement, draw another two arcs from the vertex B. Now we get two points where the arcs intersect. Using a ruler join the points. Now the line represents the bisector of the side AB.

                                                              

Step 3

Also draw the bisector for side BC using compass.

Now, take the measurement of the compass more than half of the side BC. Draw two arcs on either side of the line BC from point B, and also from point C. Join the point of intersection of the arcs.

Step 4

The two bisectors of the two lines AB and BC intersect each other. Mark the point of intersection between the bisectors of sides AB and BC as "o".

Step 5.

The point of intersection between the lines, which is bisectors of the sides AB and BC of the triangle is called as the perpendicular bisector of the triangle.

 

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