jaiyonce29 jaiyonce29
  • 12-07-2016
  • Mathematics
contestada

what does the law of cosines reduce to when dealing with a right triangle

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BDVLearn
BDVLearn BDVLearn
  • 12-07-2016
 The Pythagorean theorem
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AlonsoDehner AlonsoDehner
  • 01-07-2019

Answer:

Pythagorean theorem

Step-by-step explanation:

We know that for a triangle if we know two sides and the included angle, the third side can be found out using cosine formula

[tex]a^2=b^2+c^2-2bc cos A[/tex]

For a right angle triangle right angled at A this becomes

[tex]a^2=b^2+c^2-2bc cos A\\=b^2+c^2-2bc cos 90\\=b^2+c^2-0\\=b^2+c^2[/tex]

This is nothing but Pythagorean theorem

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