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Cutiepo0

How do you find the area of an acute triangle when you're only given the side lengths????

  • 2 years ago
  • 2 years ago

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  1. amistre64
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    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

    • 2 years ago
  2. amistre64
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    the other is to use herons formula

    • 2 years ago
  3. amistre64
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    • 2 years ago
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  4. Cutiepo0
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    so the area = \[a timesb \times \sin \] of the angle contained between a and b?

    • 2 years ago
  5. Cutiepo0
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    then, divided by two

    • 2 years ago
  6. amistre64
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    thats right; so if you can find the angle between two sides, you can find the area

    • 2 years ago
  7. Cutiepo0
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    okay! Thanks :)

    • 2 years ago
  8. amistre64
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    in my picture; base = b; height = a sin(angle) which fits into the normal Area = b*h/2 that you are familiar with

    • 2 years ago
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