3 years ago

Question 2 of 20, Step 1 of 1

Mathematics

1 answer:

miss Akunina [59]3 years ago

7 0

Step-by-step explanation:

3360832553 ____ pass___ wZE2XQ

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

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$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
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Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

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The length of the radius, $r=\dfrac{85}{12}$

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