Question

In the given figure, AB and CD are two parallel chords of a circle with centre O and radius
13 cm such that AB = 24 cm and CD = 10 cm. If OP ⊥AB and OQ ⊥CD, determine the
length PQ. (Please give me a step by step answer. Not just the result )

Answer 1

Answer:

7 cm

Explanation:

Given OP⊥AB and OQ⊥CD

CQ = QD = 3 cm

AP = BP = 4cm

In △OPA

OP^2 = OA^2-AP^2 = R^2 - 4^2

= 25-16

= 9

In △OCQ

OQ^2 = √r^2-3^2

= 4

PQ=OP+OQ

= 4+3

= 7 CM

therefore, 7cm is your right answer