Question

draw an obtuse angled triangle and a right angled triangle. Find the point of concurrence of the angle bisectors. Where do the points of concurrence lies?​

Answer 1

I. Right angled triangle

Steps of construction

1. Draw a right angled triangle ABC, right angled at B.

2. Make the angle bisectors of the angles A, B and C.

The angle bisectors meet at the point O. This point of concurrence of the angle bisectors lies inside the triangle ABC.

II. Obtuse-angled triangle

Steps of construction

1. Draw an obtuse angled triangle XYZ.

2. Make the angle bisectors of angles X, Y and Z.

The angle bisectors meet at point S. This point of concurrence of the angle bisectors lies inside the obtuse angled triangle XYZ.

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Answer 2

Step-by-step explanation:

For right angled triangle :

1. draw a right angled triangle ABC of 90° right angled at B.
2. draw angle bisector for A,B,C

To draw Angle bisector

From A take less than half to the line AB and AC.

From that line (line of less than half) draw two arcs as shown in the figure.

Just like the first step done in drawing the angle bisector, from B take less than half to the line BC and AB.

draw angle bisector (the two arcs as shown in the figure).

Repeat the same step for C.....

3. After drawing the angle bisectors join the lines of the bisectors.

4. The line where the three bisectors meet, name it as O.

For obtuse triangle:

1. Draw an obtuse triangle ️XYZ.
2. As shown above draw the angle bisectors from X,Y and Z.
3. Join the lines and name the midpoint (the point where all the three lines join ) as S.