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Questions
In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.
In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find the length of seg PS.
Sum
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Solution
Using tangent secant segments theorem, we have
PQ2 = PR × PS
∴ (12)2 = 8 × PS
PS = `144/8`
= 18 units
∴ RS = PS − PR
= 18 − 8
∴ RS = 10 units
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Notes
Students should refer to the answer according to the question.
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