anonymous
  • anonymous
TRUE or FALSE! The law of cosines reduces to the Pythagorean theorem when the triangle is right. **my answer: FALSE! is that right? @terenzreignz :)
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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terenzreignz
  • terenzreignz
What's the law of cosines? \[\Large c^2 = a^2+b^2 -2ab \ \cos(C)\]
terenzreignz
  • terenzreignz
So, if it's a right angle, then we have C = 90 degrees... \[\Large c^2 = a^2+b^2-2ab \ \cos(90^o)\]
anonymous
  • anonymous
yup haha thats it :P

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terenzreignz
  • terenzreignz
What's cos(90) = ?
anonymous
  • anonymous
=0 ?
terenzreignz
  • terenzreignz
That's right, so this part just cancels out... \[\Large c^2 = a^2 + b^2 \cancel{-2ab \ \cos(90^o)}\] Leaving you with...?
anonymous
  • anonymous
pythagorean theorem! :) so this is actually TRUE! ahh i see :)
terenzreignz
  • terenzreignz
haha
anonymous
  • anonymous
pythagorean theorem! :) so this is actually TRUE! ahh i see :)

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