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Earn +20 ptsQ: What are the answers to law of cosines in A plus?
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Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
Can the law of cosines be applied to right and non-right triangles?
Yes
How are all three versions of the law of cosines correct?
It follows from the cyclical symmetry of the cosine rule.
When and where was the law of cosines created?
Even though the cosine of an angle was not a known concept at the time, Euclid (3rd century BC) in Egypt stated and proved a pair of propositions which were equivalent to the law of cosines. One proposition was applicable for obtuse angles and the other to acute angles.
How do you figure out the area of a triangle when you only know the sides?
Use the law of cosines (look them up on wikipedia).
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