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I have a test on the Pythagorean theorem and dilations on Monday...for dilations could you plz help me understand it and how to find the algebraic expressions for them plz?

I have a test on the Pythagorean theorem and dilations on Monday...for dilations could you plz help me understand it and how to find the algebraic expressions f class=

Verified Answer :

princesspayton9

the Pythagorean theorem states that a² + b²= c². this theorem only works with RIGHT TRIANGLES, and thats all.

i don't think dilations has a formula, unless you count the scale factor as its formula.

The Pythagorean Theorem is: \(\alpha x^{2} +b x^{2} =c x^{2}\)

So, for your problem, the hypotenuse is 13 and another side length is 5.
It doesn't matter if you put 5 in the equation as a or b. 

The equation would be: \(5 x^{2} +b x^{2} =13 x^{2}\)
To solve you would do 55=25 and 1313= 169.
You would end up with: \(25 +b^{2}= 169\)
Subtract 25 from 169 to get 144. In order to get b by itself, you must square root both sides. The other side length is 12.

Then multiply 12 by 5 to get 60
Then divide 60 by 2 to get 30. 
THE ANSWER IS 30.

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