Construct a trian

The steps involved in the required construction are:

1) Draw any random triangle ∆XYZ.

2) Draw any line segment YD, making an acute angle with YZ and opposite to the vertex X. Taking Y as the center and any radius, draw an arc, intersecting YD at E. Taking E as the center and radius YE, draw an arc, intersecting YD at F. Similarly, repeat the process 2 more times to get points G and H. Join ZH.

3) Taking H as the center and any radius, draw an arc., intersecting YD and ZH at I and J respectively. Taking G as the center and radius HI, draw an arc., intersecting YD at K. Taking K as the center and radius IJ, draw an arc, intersecting previous arc at L. Join and extend HL, intersecting YZ at M.

4) Taking Z as the center and any radius, draw an arc., intersecting YZ and ZA at O and P respectively. Taking M as the center and radius ZO, draw an arc., intersecting YZ at Q. Taking Q as the center and radius OP, draw an arc, intersecting previous arc at R. Join and extend MR, intersecting XY at N.

5) ∆YMN is the required triangle.

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