mongadonga
mongadonga mongadonga
  • 22-02-2018
  • Mathematics
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what are the values of x and y?

what are the values of x and y class=

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calculista
calculista calculista
  • 04-03-2018
see the attached figure with letters

we have that 
cos(alfa) triangle ABD=12/y
and
cos(alfa) triangle ABC=y/28
then
12/y=y/28----------> y²=12*28=336----------> y=√336=4√21
y=4√21

applying the Pythagorean theorem  triangle ABC
(16+12)²=x²+y²----------? x²=28²-(4√21)²--------> x²=784-336
x=√448=8√7

the answer is 
x=8√7
y=4√21

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