In fig., O is the centre of the circle, OM┴ BC, OL┴AB, ON┴ AC and OM = ON =OL. Is ∆ABC
equilateral? Give reason.
Answers
Step-by-step explanation:
Answered
In the figure, O is the centre of the circle, OM BC, OL AB, ON AC and OM = ON = OL.
Is ABC equilateral? Given reasons.
OL AB, OM BC and ON AC
OM = ON = OL
Perpendicular distance of chords from the centre of a circle
AB = BC = AC [chords equidistant from the centre of a circle are equal.]
ABC is an equilateral triangle.
Answer:
given
o is the centre of the circle
om perpendicular to bc .... (i)
on perpendicular to ac .... (ii)
ol perpendicular to ab .... (iii)
om=on=ol
to prove
️ abc is equilateral
proof
from (i) , (ii) and (iii) we get that
perpendicular distance from the centre of the circle
ab=bc=ca ( chords equidistant from the centre are equal )
therefore triangle abc is equilateral ️
