Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. The radius of the incircle is
Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. The radius of the incircle is
The correct option is B 1.6 cm
The radius of the incircle is 1.6 cm.
1. Place the tip of the compass on any of the triangle's vertices. Adjust the width of the compass to a medium width.
2. Without changing the width of the compass, strike an arc across each adjacent side
3. Change the width of the compass if desired, then from the point where each arc crosses the side, draw two arcs inside the triangle so that they cross each other, using the same compasses' width for each.
4. Using the straightedge, draw a line from the vertex of the triangle to where the last two arcs cross.
5. Repeat all of the above at any other vertex of the triangle. You will now have two new lines drawn.
6. Where the two new lines intersect, mark a point O which is the incenter of the triangle.
7. Drop a perpendicular from the incentre to any of the sides, say AC of the triangle. Using this length as the radius and O as the incentre, construct the required circle.
Thus, the radius of the incircle is 1.6 cm.
1.6 cm
The radius of the incircle is 1.6 cm.
1. Place the tip of the compass on any of the triangle's vertices. Adjust the width of the compass to a medium width.
2. Without changing the width of the compass, strike an arc across each adjacent side
3. Change the width of the compass if desired, then from the point where each arc crosses the side, draw two arcs inside the triangle so that they cross each other, using the same compasses' width for each.
4. Using the straightedge, draw a line from the vertex of the triangle to where the last two arcs cross.
5. Repeat all of the above at any other vertex of the triangle. You will now have two new lines drawn.
6. Where the two new lines intersect, mark a point O which is the incenter of the triangle.
7. Drop a perpendicular from the incentre to any of the sides, say AC of the triangle. Using this length as the radius and O as the incentre, construct the required circle.
Thus, the radius of the incircle is 1.6 cm.
