Question

In the figure, AB and CD are two parallel chords of a circle with centre O and radius 13 cm such that AB=10 cm and CD=24 cm. If OP is perpendicular to AB and OQ is Perpendicular to CD, determine the length of PQ

Answer 1

AO*AO=(AP*AP)+(OP*OP) PYTHAGORAS
169=25+OP*OP
144=OP*OP
OP=12
OC*OC=(OQ*OQ)+(CQ*CQ)
169=OQ*OQ+144
OQ=5
OP+OQ=PQ
12+5=17