anonymous
  • anonymous
How do you find the area of an acute triangle when you're only given the side lengths????
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
one way is; you can use the law of cosines to find an angle and use that angle in the side*side*sin(angle)/2 formula
amistre64
  • amistre64
the other is to use herons formula
amistre64
  • amistre64
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anonymous
  • anonymous
so the area = \[a timesb \times \sin \] of the angle contained between a and b?
anonymous
  • anonymous
then, divided by two
amistre64
  • amistre64
thats right; so if you can find the angle between two sides, you can find the area
anonymous
  • anonymous
okay! Thanks :)
amistre64
  • amistre64
in my picture; base = b; height = a sin(angle) which fits into the normal Area = b*h/2 that you are familiar with

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