It is the Pythagorean Theorem, named after the creator Pythagoras. a & b are lengths of legs of a right triangle (legs are the sides adjacent the right angle. c is the length of the hypotenuse of the right triangle.
I've heard that the ancient Egyptians knew about the 3-4-5 right triangle and used that knowledge to make sure the pyramids had right angles, but I cannot find that information right now. I think I saw it on the Discovery Channel, or TLC.
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a2
a right triangle
Pythagorean Theorem
The reciprocal of a + bi is a - bi:1/(a + bi) since the conjugate is a - bi:= 1(a - bi)/[(a + bi)(a - bi)]= (a - bi)/[a2 - (b2)(i2)] since i2 equals to -1:= (a - bi)/(a2 + b2) since a2 + b2 = 1:= a - bi/1= a - bi
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