1. Construct line segment AB with length 5cm.
2. Using compass, draw a ray from A at an angle of 45 degrees to AB, marking the point where it intersects AB as C.
3. Using compass again, draw a ray from B at an angle of 30 degrees to AB, marking the point where it intersects with the previous ray as point C.
4. Draw the line segments AC and BC to form triangle ABC.
5. Using compass and ruler, find the midpoint of AB and mark it as point M. Draw a circle centered at M with radius MA or MB, which is the locus l1 of the point equidistant from A and B.
6. Similarly, find the midpoint of BC and mark it as point N. Draw a circle centered at N with radius NB or NC, which is the locus l2 of the point equidistant from B and C.
7. Locate the intersection point of l1 and l2 and mark it as point P.
8. Using compass again, draw a circle centered at P with radius equal to the distance between P and A or B or C to complete the construction.
The final result should be a triangle ABC with a point P that is equidistant from A, B, and C, with circles l1 and l2 representing the locus of points that are equidistant from AB and BC, respectively. The circle centered at P with pic as its radius should also pass through A, B, and C.
Using a ruler and a pair of compasses only,construct triangle abc such that ab=5cm ,triangle bac=45 and abc=30 the locus of l1 of the point equidistant from A and B,the locus l2 of the point equidistant from b and c.Locate p the point of intersection of l1 and l2 using pic as the radius draw a circle
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