Show that equal chords of a circle subtend equal angles at the centre of the circle

Asked by pereiracalida | 14th Jan, 2018, 06:35: PM

Expert Answer:

 
begin mathsize 16px style In space triangles space AOB space and space COD comma
AB equals CD space space space space space left parenthesis given right parenthesis
OA equals OC space space space space left parenthesis radii space of space same space circle right parenthesis
OB equals OD space space space left parenthesis radii space of space same space circle right parenthesis
rightwards double arrow triangle AOB approximately equal to triangle COD space space space space left parenthesis SSS space congruence space criterion right parenthesis
rightwards double arrow angle AOB equals angle COD end style

Answered by Rashmi Khot | 15th Jan, 2018, 09:02: AM