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If the radius of circle M is 7, and LK = 18, find JK

If the radius of circle M is 7, and LK = 18, find JK-example-1
User Kamar
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1 Answer

17 votes
17 votes

Answer:

JK = 24

Step-by-step explanation:

If the radius of circle M is 7, we can say that MJ = 7 and ML = 7

So, the length of MK will be equal to:

MK = ML + LK

MK = 7 + 18

MK = 25

Now, we have a right triangle JMK, and we know the length of one leg MJ = 7 and the length of the hypotenuse MK = 25. Using the Pythagorean theorem, we can find the length of the other side JK, so


\begin{gathered} JK=\sqrt[]{MK^2-MJ^2^{}} \\ JK=\sqrt[]{25^2-7^2} \\ JK=\sqrt[]{625-49} \\ JK=\sqrt[]{576} \\ JK=24 \end{gathered}

Therefore, the value of JK is 24.

User Priyank Patel
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