Mathematics
Construct a triangle with sides 3 cm, 4 cm and 5 cm. Draw its circumcircle and measure its radius.
Constructions
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Answer
Draw a line segment BC = 4 cm.
From B cut an arc of 3 cm and from C cut an arc of 5 cm.
Mark the point as A where the arcs meet.
Join the points A, B and C. Hence, the △ABC is formed.
Draw the perpendicular bisector of AB and BC. Let these bisectors meet at the point O.
With O as center and radius equal to OA, draw a circle. The circle so drawn passes through the points A, B and C, and is the required circumcircle of △ABC.
Measuring OB we get the radius of the circumcircle.
Hence, the radius of the circumcircle = 2.5 cm.
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