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Ok I am have a total brain fart right now. How do you figure the Pythagorean theorem when given side a and the hypotenuse

hypotenuse is 13 side a is 5

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Hello Destiny_Sny,
First, let me start by stating that the Pythagorean Theorem is
a^2 + b^2 = c^2 ,
where "a" and "b" are legs of right triangle and "c" is the hypotenuse. I see you already know what's the hypotenuse measurement. In your case, "a" = 5 and "c" =13.
Therefore "b" is the unknown. The following steps are to solve for "b."
#1.) 5^2 + b^2 = 13^2 simplify
#2.) 25 + b^2 = 169
#3.) -25 (subtract) on both sides to cancel out 25 on left side of the equation.
#4.) b^2 = 144 since "b" is squared, the opposite would be square rooting each side.
Square root of b^2 is "b" and square root of 144 is 12.
#5.) b = 12.
I hope this was helpful. Good bye.

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work it backwards.

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5^2+b^2=13^2

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(a^2) + (b^2) = (c^2)

You have 'a' and 'c' (c is the hypotenuse)

Plug in a and c and solve for b

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I don't remember how to solve for b though
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So it would turn into
(5^2) + (b^2) = (13^2)

Which is
25 + (b^2) = 169

Which is
(b^2) = 144

So what number times itself gives you 144? Another way of saying this is, 'What is the square root of 144?'
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A2+B2=C2