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Find RT in the circle

Find RT in the circle-example-1
User Darkpotpot
by
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1 Answer

18 votes
18 votes

Answer:

RT = 18

Explanation:

given 2 secants to a circle from an external point, then

the product of one secant's external part and that entire secant is equal to the product ot the other secant's external part and that entire secant, that is

RS × RT = RQ × RP

11(11 + x) = 9(9 + 13)

11(11 + x) = 9 × 22 = 198 ( divide both sides by 11 )

11 + x = 18 ( subtract 11 from both sides )

x = ST = 7

Then

RT = RS + ST = 11 + 7 = 18

User Marlene
by
2.5k points