Question

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

Answer 1

Answer:

JK = 24

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.