(iv) A triangle inscribed in a circle and not containing the centre of
the circle, will always be :
(A) An acute angled
(B)
A right angled
(C) An obtuse angled
(D)None of these ..
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Answers
A triangle inscribed in a circle and not containing the centre of the circle, will always be An obtuse angled
Step-by-step explanation:
A triangle inscribed in a circle and not containing the center of
the circle, will always be An obtuse angled
if Center lies inside Triangle
then Each side / Chord will from angle < 180° at center
so angle at arc segment ( Triangle angles ) would be < 180°/2 < 90°
Hence triangle would be acute angled
if Center lies on the side of Triangle
Then that one side will form 180° angle at center
and hence 90° at arc segment
Hence triangle would be right angle triangle
if Center is out side triangle then one side will form angle at center and same arc segment
angle at center < 180° angle at arc segment < 90°
this angle would be cyclic with angle of triangle
=> triangle angle > 90°
=> Obtuse angled triangle
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