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pythagorean theorem, c2 = a2 + b2, can be used to find a missing side of a right triangle. if c = 14 and a = 10, which equation can be used to solve for b?

I would say this is the
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a right triangle has 2 legs and a hypotenuse.
the hypotenuse is opposite the 90 degree angle.
the 2 legs are opposite the other angles of the triangle.
if you know 2 of the dimensions then you simply use the formula to solve for the remaining dimension.
assume one of the legs is equal to a and the other leg is equal to b and the hypotenuse is equal to c.
then the formula is:
c^2 = a^2 + b^2
suppose you know the value of a and b
you substitute for a and b in the equation and solve for c.
assume a = 6 and b = 8
the formula becomes:
c^2 = 6^2 + 8^2 = 36 + 64 = 100

now you take the square root of both sides of the equation to get:
c = sqrt(100) = 10
now suppose you knew that c was equal to 10 and a was equal to 6.
your equation of:
c^2 = a^2 + b^2 becomes:
10^2 = 6^2 + b^2 which becomes:
100 = 36 + b^2
you subtract 36 from both sides of the equaton to get:
100 - 36 = b^2
you simplify to get:
64 = b^2
you take the square root of both sides of the equation to get:
8 = b

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B^2 = 14^2 - 10^2
b^2 = 4
b = 2

Using the pythagorean itself can solve the equation