bilaaljan3
bilaaljan3 bilaaljan3
  • 16-03-2018
  • Mathematics
contestada

Find the value of y.

Find the value of y class=

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evgeniylevi
evgeniylevi evgeniylevi
  • 16-03-2018
Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles: 
[tex] \frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80} [/tex]
2. according to the Pyphagorean theorem (in the smallest triangle):
[tex]y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}[/tex]

answer: y=√55.
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