Q10 of 805 Page 11

Draw a with side BC = 6 cm, AB = 5 cm and . Then, construct a triangle whose sides are of the corresponding sides of the .

The steps involved in the required construction are:

1) Draw a line segment BC= 6 cm.



2) Using a protractor, draw CBD=60°. Taking B as the center and radius 5 cm draw an arc, intersecting BD at A. Join AC.



3) Draw any line segment BE, making an acute angle with BC and opposite to the vertex A. Taking B as the center and any radius, draw an arc, intersecting BE at F. Taking F as the center and radius BF, draw an arc, intersecting BE at G. Similarly, repeat the process 2 more times to get points H and I. Join CI.



4)Taking I as the center and any radius, draw an arc., intersecting BD and CI at J and K respectively. Taking H as the center and radius IJ, draw an arc., intersecting BD at L. Taking L as the center and radius JK, draw an arc, intersecting previous arc at M. Join and extend HM, intersecting BC at N.



5) Taking C as the center and any radius, draw an arc., intersecting BC and CA at P and Q respectively. Taking N as the center and radius CP, draw an arc., intersecting BC at R. Taking R as the center and radius PQ, draw an arc, intersecting previous arc at S. Join and extend NS, intersecting AB at O.



6) ∆BNO is the required triangle.


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