#1**-1 **

Let P be the intersection point of MN and KL, and let x equal MP. You could use the intersecting chord theorem for this problem, but notice that the lines are perpendicular, so we can just use the Pythagorean theorem:

\(12^2+(12+16)^2=x^2\\ x=\sqrt{928}=4\sqrt{58}\)

Since MN is twice that, the answer is \(\boxed{8\sqrt{58}}\)

textot Jul 1, 2021

#1**-1 **

Best Answer

Let P be the intersection point of MN and KL, and let x equal MP. You could use the intersecting chord theorem for this problem, but notice that the lines are perpendicular, so we can just use the Pythagorean theorem:

\(12^2+(12+16)^2=x^2\\ x=\sqrt{928}=4\sqrt{58}\)

Since MN is twice that, the answer is \(\boxed{8\sqrt{58}}\)

textot Jul 1, 2021

#2**+6 **

**Important:**

**When two chords intersect inside a circle, then the measures of the segments of each chord multiplied with each other are equal to the product from the other chord.**

~~~~~~~~~~~~~~~~~~~~~~~~~~~

LJ = 16

HJ = 40

**LJ * HJ = MJ * NJ**

640 = MJ * NJ

**MN = √2560 or 16√10**

If that answer's the best, then what's mine???

jugoslav Jul 1, 2021