construct an equilateral angle PQR with side 8cm and draw its incircle and circumcircle
Answers
Answer:
Given - An equilateral triangle ABC in which AB=BC=CA=8 cm.
Required - To construct the given triangle ABC and to draw incircle of it.
Construction of △ABC-
(1) Draw a line segment BC=8 cm.
(2) Draw a arc of radius =8 cm taking B as centre.
(3) Draw another arc of radius =8 cm taking B as centre.
(4) Draw another arc of radius =8 cm. taking C as centre with intersects the previous arc at a point A.
(5) Join AB and AC.
Thus the require △ABC is constructed.
Construction of incircle of △ABC.
(1) Draw BP and CQ the bisectors of angles ∠B and ∠C respectively and which intersect each other at point O.
(2) Draw OR⊥BC which intersects BC at L.
(3) Taking O as centre and OL as radius draw a circle which touches the sides AB,BC and CA at points N,L and M respectively.
(4) Measure the radius OL which is 2.3 cm.
Thus the required incircle is constructed and its radius =2.3 cm
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