in figure,CD is a diameter of the circle with centre O, diameter CD is perpendicular to chord PQ at point E. show that triangle PQC is an isosceles triangles
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Step-by-step explanation:
trianglePWC is congruent to triangle QEC
trianglePWC is congruent to triangle QECEC(common)
CP=CQ
P=CQPE=EQ
(PEC=QEC by SAS congruency)
now,because they are right angled triangles, triangle PQC is an isoceles triangle.
HENCE PROVED
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