Answer :

Steps of Construction:

1. First we construct the triangle ABC with the given dimensions.

2. Draw a line segment BC of length 4. 5 cm. Make an angle of 45° from B and an angle 60° from C.

3. The point where the rays meet is A.

4. Now draw a ray making an acute angle with BC. Make 7 equal arcs.

5. Join the last arc cut point with C and from 3^{rd} arc, cut point draw a line parallel to B_{7}C cutting BC at C’.

6. From C’ draw a line parallel to AC cutting AB at A’.

A’BC’ is or required triangle.

7. Now we see that our line BC gets divided into the ratio of 3:4.

So (a) 3:4 is the answer.

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