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In the figure below,the segments JK and JL are tangent to the circle centered at O.Given that JL =13.2 and OJ=16.5,find OK.

In the figure belowthe segments JK and JL are tangent to the circle centered at OGiven that JL 132 and OJ165find OK class=

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Answer:

OK=9.9

Step-by-step explanation:

KJ and LJ both are on the circumference, are secants and coincides at the same outer point so they are equal.

JK=LJ so JK=13.2

Tangents are perpendicular to radius so the triangle in the circle is a right triangle.

Apply pythagorean theorem to find OK

[tex] {x}^{2} + 13.2 {}^{2} = 16.5 {}^{2} [/tex]

[tex]x = 9.9[/tex]

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