Question

If tangent PQ at a point P of a circle of a radius 5cm meets a line through the centre O at a point so that OQ = 12cm .Fine length of PQ.

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Answer 1

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JUST CHECK THE PIC .

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Answer 2

aloha user^^
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given: an external point Q, tangent PQ and a circle with radius 5 cm.
to find: the length PQ
please see the attachment for help.
solution:

we know that a tangent makes 90° angle with the radius of the circle.
so, angle OPQ = 90°

in order to find the length of PQ we are going to use the Pythagoras theorem.

which is:

${h}^{2} = {b}^{2} + {p}^{2}$
${12}^{2} = {5}^{2} + {pq}^{2}$
144 - 25 = pq^2
$119 = {pq}^{2}$
PQ =
$\sqrt{119} cm$

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