1. andriod09

|dw:1348498599367:dw| ik what the answers are, i just need help finding how to get them They are 5", 12", and 13"

The Theorem is a^2 + b^2 = c^2 Where a and b are sides of the right triangle and c is the hypotenuse of the right triangle.

3. andriod09

ik the thirum, i just havn't done it in about 3 years.

Ok. Let a = x and b = x+7 therefore, (x)^2 + (x+7)^2 = (8+x)^2

5. andriod09

okay, then what?

6. andriod09

7. andriod09

@cshalvey @Callisto @Yahoo!

8. Yahoo!

$(x+8)^2 = x^2 + (x+7)^2$

9. Yahoo!

nw expand this....... $(a+b)^2 = a^2 + 2ab + b^2$

10. andriod09

please do not use the equation button i have a mathjax error and it annoys me. i see the slashes and brackets and braces.

11. erica.d

(x+8)^2=x^2+(x+7)^2

12. Yahoo!

lol.... ) (x)^2 + (x+7)^2 = (8+x)^2

13. andriod09

okay?? then you do??????

14. Callisto

Expand the terms for both sides of the question, then simplify it. As Yahoo! mentioned, you can expand the term (a+b)^2 by using the identity (a+b)^2 = a^2 + 2ab + b^2. If you don't know where this identity comes from, you can simply perform multiplication for the term, i.e. (a+b)^2 = (a+b)(a+b), now expand it. What have you got for now?

15. andriod09

|dw:1348501546848:dw|

16. andriod09

@Callisto that made no sense to me. :c

17. Callisto

May I know what made no sense to you?

18. andriod09

"Expand the terms for both sides of the question, then simplify it. As Yahoo! mentioned, you can expand the term (a+b)^2 by using the identity (a+b)^2 = a^2 + 2ab + b^2. If you don't know where this identity comes from, you can simply perform multiplication for the term, i.e. (a+b)^2 = (a+b)(a+b), now expand it."

19. Callisto

Which part you don't understand?

20. andriod09

the expansion parts.

21. Callisto

Do you know how to expand (a+b)^2?

22. andriod09

no. im homeschooled, i havn't even done pythagereum theory much.

23. erica.d

x^2+16x+64=x^2+x^2+14x+49

24. Callisto

That is not Pyth. Thm. It's just simple multiplication of some factors. For instance, $x^2 = x \times x$$x^3 = x \times x \times x$ Similarly, $(a+b)^2 = (a+b) \times (a+b)$It can be expanded in this way: $(a+b)^2 = (a+b) \times (a+b) = a(a+b) + b(a+b)$Can you further expand and simplify it?

25. andriod09

i can not see the equations from the eqtation button!!!!!!!!!!

26. Callisto

equation button is for you to type latex...

27. Callisto

*type in latex

28. andriod09

yes, but i see: $\$$\\$][\\]$\$ thats what i see, i see evey single slash, all the brackets, the braces, everything

29. Callisto

\sqrt{x} = $$\sqrt{x}$$ and so on.. You can try these on the equation button. Though, back to your question, are you still having trouble with your question?

30. andriod09

yes. and i see the \sqrt{x} = $$\sqrt{x}$$ like i see all the braces, the terms for them, and everything like that. my mathjax thing isn't working atm

31. Callisto

Can you see what I've typed in latex?

32. andriod09

no. i see the equation as if you write it with out the button, like i don't see the (x)^2 i see the ()^{} and things like that. and yes, i still am having problems with my problem

33. Callisto

|dw:1348503516047:dw|

34. andriod09

yes.

35. Callisto

Now, can you expand a(a+b) +b(a+b) ?

36. andriod09

how?

37. Callisto

Distributing a into a+b and b into a+b

38. andriod09

then??

39. Callisto

Expand it first.

40. andriod09

how?

41. Callisto

a(a+b) = a(a) + a(b) = a^2 + ab Can you try b(a+b) now?

42. andriod09

is it: b(a+b)=b(a)+b(b)=b^2+ba?

43. Callisto

Yes! Now combine them What is a(a+b) + b(a+b) ?

44. andriod09

(a(a+b) = a(a) + a(b) = a^2 + ab)+(b(a+b)=b(a)+b(b)=b^2+ba)?

45. Callisto

Nope not really.. can you try again?

46. andriod09

what would it be then?

47. andriod09

@ash2326

48. andriod09

@ganeshie8

49. andriod09

@Callisto

50. andriod09

@ash2326

51. andriod09