Question

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

Answer 1

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

$a^2=b^2+c^2-2bc cos A$

For a right angle triangle right angled at A this becomes

$a^2=b^2+c^2-2bc cos A\\=b^2+c^2-2bc cos 90\\=b^2+c^2-0\\=b^2+c^2$

This is nothing but Pythagorean theorem

Answer 2

 The Pythagorean theorem