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Question

Using ruler and compasses only, construct a triangle ABC in which BC =4 cm, ACB=45 and the perpendicular from A on BC is 2.5 cm. Draw the circumcircle of triangle ABC and measure its radius.

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Solution

1)Draw a line segment BC=4 cm.
2)At C. Draw C line CX and from it cut off CE=2.5 cm.
3)From E, Draw another line EY.
4)From C, Draw a ray making on 45 with CB, which intersects EY at A.
5)Join AB. Thus ABC is the required le.
6)Draw bisector of sides AB and BC intersecting each other at O.
7)With centre O, and radius OB, Draw a circle which will pass through A,B and C. Measuring the radius OB=OC=OA=2 cm.

1013506_1006641_ans_174015ab6f6e4e839f5389ce16d61866.png

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