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Earn +20 ptsQ: If a2 plus b2 equals c2 then c2 equals b2 equals?
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A2 plus b2 equals c2 is an example of?
Pythagorean Theorem
If a2 plus b2 equals c2 then the triangle is?
a right triangle
If a2 plus b2 plus c2 - ab - bc - ca equals 0 then prove a equals b equals c?
a2 + b2 + c2 - ab - bc - ca = 0 => 2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca = 0 Rearranging, a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2 = 0 => (a2 - 2ab + b2) + (b2 - 2bc + c2) + (c2 - 2ca + a2) = 0 or (a - b)2 + (b - c)2 + (c - a)2 = 0 so a - b = 0, b - c = 0 and c - a = 0 (since each square is >=0) that is, a = b = c
How do you solve a2 plus c2 equals b2 and a equals 10 and your c is 30?
All you need to do is substitute the given values of a and c into the equation, then solve for c: a2 + c2 = b2 102 + 302 = b2 100 + 900 = b2 b2 = 1000 b = √1000 b = 10√10
Math inventor of a2 plus b2 equals c2?
Pythagoras. That's why it's called the Pythagorean Theorem.
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