using ruler and compass only construct a triangle ABC in which AB = 8 cm BC= 6 cm andCA= 5 cm.find in centre and Mark I,with I as centre draw a circle which will cut off 2cm chords from each side of the triangle
Answers
Given : AB = 8 cm BC= 6 cm and CA= 5 cm
To Find : construct ΔABC
Solution:
Step 1 : Draw a line segment AB = 8 cm
Step 2 : Using compass width = 5 cm and taking A as center draw an arc
Step 3 : Using compass width = 6 cm and taking B as center draw an arc such that it intersects arc drawn in previous step at C
Step 4 : Join AC and BC
ΔABC is constructed
To find inceneter Angle bisector has to be drawn
Angle bisector of angle AB
Using suitable compass width draw an arc taking A as center such that it cut AB at M and AC at N
Using suitable compass width draw intersecting arcs taking M and N as center at P
Draw a line passing through A and P
Similarly draw angle bisector of angle B
Both angle bisector intersects at O which is incenter
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