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Cutiepo0

  • 3 years ago

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

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

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

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

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

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

  8. amistre64
    • 3 years ago
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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

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