Answer:
57
Step-by-step explanation:
The only triangle where two side lengths are given is triangle LMN.
Using the pythagorean theorem, you can find NL.
[tex]\sqrt{89^2 - 39^2} = \sqrt{7921 - 1521} = \sqrt{6400} = 80[/tex]
Then do the same with triangle KLN to find NK.
[tex]\sqrt{100^2 - 80^2} = \sqrt{10000 - 6400} = \sqrt{3600} = 60[/tex]
Do it again with triangle JKN to find JN.
[tex]\sqrt{83^2 - 60^2} = \sqrt{6889 - 3600} = \sqrt{3289} = 57.35[/tex]
Round it to the nearest whole number, giving you 57.
