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Vesnalui [34]
3 years ago
13

If KJ = 33 and KN =

sqrt{10} " align="absmiddle" class="latex-formula"> , calculate the length of GJ.
1. 27
2. 6\sqrt{161}
3. 3\sqrt{161}
4. 54
also please show work on how you found your answer

Mathematics
1 answer:
Simora [160]3 years ago
7 0
KJ is the hypotenuse of the right triangle KJN, therefore:KJ^2 = KN^2 + JN^233^2 = (6sqrt10)^2 + JN^21089 = 360 + JN^2JN^2 = 729JN = 27
The figure is a trapezoid, since GH // JI, and MN is perpendicular to HI. Therefore GN = JN = 27. The length of GJ = 54.

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