Mathematics
Use ruler and compass, construct a triangle ABC where AB = 3 cm, BC = 4 cm and ∠ABC = 90°. Hence, construct a circumcircle circumscribing the triangle ABC. Measure and write down the radius of the circle.
Constructions
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Answer
Steps of construction :
Draw a line segment AB = 3 cm
From B draw a ray BX such that ∠XBA = 90°.
From B draw an arc of 4 cm cutting XB at C.
Join AC. ABC is the required triangle.
Construct perpendicular bisectors of AB and BC, such that they intersect at O.
With O as center and OA as radius draw a circle passing through A, B and C.
Measure OA.
Hence, above is the required circumcircle of triangle ABC.
On measuring we get OA = 2.5 cm
Hence, the length of the radius of the circle = 2.5 cm.
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