A , B , E ARE POINTS ON CIRCLE AB IS DIAMETER WITH O AS A CENTRE AC AND BD - Maths -

Question

A , B , E ARE POINTS ON CIRCLE AB IS DIAMETER WITH O AS A CENTRE
AC AND BD ARE PERPENDICULARS ON A LINE PQ BD MEETS THE CIRCLE AT E
PROVE THAT AC = ED

Gursheen kaur. · Accepted Answer

By property that âˆ AEB = $90^{0}$ Similarly, All the angles in the quad AEDC = $90^{0}$ âˆ´ AEDC is a rectangle and AC = ED ( opposite sides of rectangle are equal )

A , B , E ARE POINTS ON CIRCLE AB IS DIAMETER WITH O AS A CENTRE AC AND BD ARE PERPENDICULARS ON A LINE PQ . BD MEETS THE CIRCLE AT E . PROVE THAT AC = ED