Question

Construct a triangle abc with ab =5cm angleb=60°and bc=6.4cm draw the incircle of the triangle abc

Answer 1

Taking o as centre draw a circle touching all 3 vertex pf triangle.

Answer 2

Construction of Incircle for triangle ABC:

• Draw a line segment AB = 5 cm.
• Draw a ray BX from B by making an angle of 60°.
• Draw an arc on BX from B with radius 6.4 cm.
• Name this point as C.
• Join A and C.
• Draw angle bisectors for angles A and B.
• Let the point of intersection be I(incenter).
• Now, drop a perpendicular from I such that it meets AB at D.
• With I as center and ID as radius, draw the circle(incircle).
• This circle touches all three sides of the triangle.

NOTE:

1. You can draw angle bisectors for any two angles.

2. Perpendicular from I can be drawn to any of the three sides.