Question

Construct a triangle ABC with AB = 5 cm, ∠ B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC. Sol. Steps of Construction

Answer 1

Answer:

Sol. Step of Construction :

Step I : Construct a ΔABC in which BC=6cm,AB=5cmand∠ABC=60

0

Step II : Below BC make an acute ∠CBX

Step III : Along BX mark off four ares :

B

1

,B

2

,B

3

andB

4

such that

BB

1

=B

1

B

2

=B

2

B

3

=B

3

B

4

Step IV : join B

4

C

Step V : Form B

3

draw B

3

D∣∣B

4

C meeting BC at D

Step VI : From D, Draw ED∣∣AC meeting BA at E

Now , we have ΔEBD Which is required triangle whose sides are

4

3

th of the corresponding sides of ΔABC