Question

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 ​

Answer 1

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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