Q. 143.7( 6 Votes )

Draw a Δ AB

Answer :

Steps of construction :

1. Draw a line AB = 6 cm

2. Taking A as center and with radius = 7 cm, draw an arc.

3. Taking B as center and with radius = 5 cm draw an arc which intersects previous arc at C

4. Join AC and BC to get ∆ABC

5. Below AB, make an acute angle BAX

6. Along AX mark 7 (greater of 4 and 7 in 4/7) points A1, A2, A3, A4, A5, A6 and A7 at equal distances.

7. Join A7B

8. From point A4, make a line A4B' parallel to A7B, meeting AB at B'.[Choosing A4 because we need a 4 : 7 ratio]

9. From point B' draw a line B'C' parallel to BC.

10. AB'C' is the triangle, whose sides are four - seventh of ∆ABC

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