Mathematics
(i) Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
(ii) Find its incenter and mark it I.
(iii) With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 6 cm.
With B as center and radius 8 cm draw an arc.
With C as center and radius 5 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 A intersecting each other at I. I is the incenter.
Through I, draw ID ⊥ AB.
From D as center cut off DP = DQ = = 1 cm.
With I as center and radius IP or IQ, draw a circle cutting off 2 cm chords from each side of triangle.
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Using ruler and compasses only,
(i) Construct a triangle ABC with the following data :
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(ii) In same diagram, draw a circle which passes through the points A, B and C and mark its center O.
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