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What does the Pythagoras theorum say?

Updated: 9/17/2023
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12y ago

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a2+b2=c2

a,b,and c are sides to a right triangle. c is the hypotenuse (the side opposite from the right angle)

so if you had a triangle with the side lengths 3 and 4 and you want to find the hypotenuse, this is how.

32+42=c2

9+16=c2

25=c2

square root(25)=square root(c2)

5=c

so 5 would be your answer

the Pythagoras theorem is this equation.

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Q: What does the Pythagoras theorum say?
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Pythagorean Theorum


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Pythagoras discovered many of the properties of what would become trigonometric functions. The Pythagorean Theorum, a2 + b2 = c2 is a representation of the fundemental trigonometric identity sin2(x) + cos2(x) = 1. 1 is the hypotenuse of any right triangle, and has legs length sin(x) and cos(x) with x being one of the two non-right angles. With this in mind, the identity upon which trigonometry is based turs out to be the Pythagorean Theorum.


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