draw in circle and circumcircle of equilateral triangle with side 8 cm
Answers
Step-by-step explanation:
ANSWER
Given: An equilateral triangle ABC in which AB=BC=CA=8cm.
Required: To construct the given triangle ABC and to draw incircle of it.
Construction of △ABC
(1) Draw a line segment BC=8cm
(2) Draw an arc of radius =8cm taking B as centre.
(3) Draw another arc of radius =8cm taking B as centre
(4) Draw another arc of radius =8cm taking C as centre with intersects the previous arc at a point A.
(5) Join AB and AC.
Thus the required △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 C.
(2) Draw ORbotBC 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 2.3cm. Thus the required incircle is constructed and its radius =2.3cm
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