Mathematics
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 5.6 cm.
With B as center and radius 5.6 cm draw an arc.
With C as center and radius 5.6 cm draw another arc which intersects first arc at A.
Join AB and AC. ABC is the required triangle.
Draw angle bisectors of ∠B and ∠C intersecting each other at O.
From O, draw OL ⊥ BC.
Now with center O and radius OL, draw a circle which will touch the sides of △ABC.
Hence, above is the required circle.
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