Question

(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 ..
plzz answer fast with prooof ..
i will mark u branlist ..​

Answer 1

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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