The law of Cosines applies to any kind of triangle with side lengths a,b,c and also angles A,B,C. Note that if C is a ideal angle, then cos(C) = 0 and also the legislation of cosines reduces to the Pythagorean Theorem: a2 + b2 = c2. Here, c would certainly be the size of the hypotenuse of the appropriate triangle.

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True

Step-by-step explanation: The legislation of cosines reduces come the Pythagorean theorem as soon as the triangle is right.



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Let

*
be 3 vectors which stand for sides that Triangle.

Using triangle law, the is because that a closed route the sum of three vectors will be zero.

*

Which is Cosine law that is "Law that Cosines" for a Triangle.

If 2 vectors room Orthogonal, that is vector a and also vector b, climate their dot product will certainly be Zero.

*

So, law of Cosine reduce to

*

Which is the Pythagorean Theorem, whereby a and b are smaller sized sides that triangle and,c, is the Hypotenuse of best Triangle.

*


The given statement is False.

Step-by-step explanation:

Let us suppose a triangle ABC.

The law of cosine is provided by

*

And the Pythagorean theorem is given by

*

Now, in order to the legislation of cosine to it is in in the type of Pythagorean theorem, we must have 2abcos C =0.

a and b can"t be zero since it stand for the political parties of the triangle. Hence, we have

cos C= 0

thus, the value of C is 90 degrees. Hence, the triangle need to be a ideal angle triangle.

Thus, the triangle shouldn"t it is in acute triangle.

Therefore, the provided statement is false/


Answer from: justin5647

Truth

Step-by-step explanation:

apex


Answer from: danuwell
False- the consisted of angle should be a right angle for cos C to it is in 0 & two various other points are typically used
Answer from: paulusl19
Law of cosine is :c^2 = a^2 + b^2 − 2ab cos(theeta)so in instance of appropriate triangle , edge is 90 degree:putting 90 levels into formula:c^2 = a^2 + b^2 − 2ab cos(90)As we recognize that:cos90 = 0c^2 = a^2 + b^2 − 2ab (0)c^2 = a^2 + b^2 - 0c^2 = a^2 + b^2 ( this is pythagorean to organize ).So the above statement is True.
Answer from: ManBun99
The legislation of cosine is normally expressed as,  c² = a² + b² - 2ab x (cos C)If the triangle is appropriate (one that the angles steps 90 degrees, in this situation C), the equation becomes,  c² = a² + b² - 2ab x (cos 90)Since cos 90 is zero, this equation reduces come c² = a² + b². This equation is the general type of the Pythagorean theorem. Thus, the prize is TRUTH. 

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