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Mathematics 19 Online
OpenStudy (anonymous):

HOW DO YOU DO THIS? ! Circles G, J, and K all intersect at L. If GH = 10, find the measure of JL.http://media.education2020.com/evresources/647-11-01-00-00_files/i0260000.jpg

Directrix (directrix):

From @ https://ms-schmitz-geometry-honors.wikispaces.com/share/view/50968530?replyId=50982158 "We are given the radius of circle G, which equals 10. We are asked to find the measure of segment JK, which, if you look closely, can see that JK is a radius of circle K. I started by finding the length of a radius of circle J, since circle K is inside of circle J. Since we know segment GL equals 10 because it is also a radius of circle G, we can divided this by 2, and find the length of GJ, a radius of circle J. 10/2=5 Since GJ is congruent to JL, we now know that JL equals 5 as well. If you look again at the picture, you will see that JL is the diameter of circle K, and if you divide the diameter, 5, by 2, you will find the length of a radius. And since JK is a radius of circle K, this will give you your final answer. 5/2=2.5 JK=2.5 " https://ms-schmitz-geometry-honors.wikispaces.com/share/view/50968530?replyId=50982158

Directrix (directrix):

@whatsupyo123 ^^^^^ Check that, please.

OpenStudy (anonymous):

how do you find GJ

Directrix (directrix):

@Freddie123 "finding the length of a radius of circle J, since circle K is inside of circle J. Since we know segment GL equals 10 because it is also a radius of circle G, we can divided this by 2, and find the length of GJ, a radius of circle J. 10/2=5 From above: Since GJ is congruent to JL, we now know that JL equals 5" GJ = JL = 5.

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