SOLUTION: a2 + b2 = c2 when a=10 b=24 c=x

Question 261018: a2 + b2 = c2 when a=10 b=24 c=x
Found 3 solutions by stanbon, richwmiller, Greenfinch:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a2 + b2 = c2 when a=10 b=24 c=x
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10^2 + 24^2 = x^2
x = sqrt[100 + 576]
x = 26
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Cheers,
Stan H.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
10^2+24^2=x^2
676=x^2
26=x
-26=x
two solutions
We discard the - solution when dealing with shapes and things since we can't have a side of -26 inches
Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!
I assume you mean a^2 + b^2 = c^2
for a = 10, b = 24, there is a factor of 2 which will factorize out
so a = 2 x 5 b = 2 x 12, which is the base of the Pythagorean triple 5,12,13
so c = 2 x 13 = 26
Or else
a^2 = 100
b^2 = 576
c^2 is therefore 676
so sq rt of 676 is 26
c = 26
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