## anonymous one year ago FAN AND MEDAL TO WHOEVER CAN HELP ME I need someone to work through this with me and explain it. A right triangle has base (x - 5) units and height (4x - 10) units. Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points) Part B: What is the area of the triangle? (3 points) Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials. (3 points)

1. anonymous

me

2. anonymous

|dw:1433809231852:dw| A . you can get the hypotenuse using the pytagorean theorem: $H^2=h^2+b^2$ B . the area can be found as: $Area=\frac{b\times h}{2}$ start with those 2, using the expressions for b and h as a function of x

3. anonymous

17x2-90x+125

4. anonymous

okay.

5. anonymous

Not really. c is just (x-5). So c^2 is (x-5)^2 b is (4x-10) so b^2 is (4x-10)^2

6. anonymous

So for the area I would use the squared expressions in the formula or the original?

7. anonymous

the original

8. anonymous

okay

9. anonymous

I am in Algebra I so I haven't taken Geometry yet so I am kinda confused but my teacher gave me this question and I haven't learned how to do this..

10. anonymous

ok

11. anonymous

for the area you need to use the originals

12. anonymous

I'm going to get my sister to help me but thank you!!

13. anonymous

ok, just ask here if you need any more help...

14. anonymous

@Greg_D my sister wasn't very much help can you still help me?

15. anonymous

ill help

16. anonymous

okay

17. anonymous

what is the question

18. anonymous

the same one^

19. anonymous

ok

20. anonymous

@loveemmmma how far did you get with what @Greg_D suggested?

21. anonymous

I got the $17x ^{2}-90x+125$ = H^2

22. anonymous

ok. so for the area multiply the base and height, then multiply by ½. $A=\frac{ 1 }{ 2 }(x-5)(4x-10)$ Do you know FOIL?

23. anonymous

yeah

24. anonymous

OK. use it to multiply

25. anonymous

sorry, i was away from the computer, i see everything goes fine anyway :)

26. anonymous

I'm not sure but I think it might be $12x ^{2}-5x+25$ I'm really bad at math.. :/

27. anonymous

@peachpi @Greg_D is this right??^

28. anonymous

|dw:1433812321296:dw| Divide by 2 to get 2x²-15x+25

29. anonymous

oh okay I see what you did.

30. anonymous

So that would be the area of the triangle right?

31. anonymous

@peachpi ? ^

32. anonymous

yes! that would be the area expressed as function of x

33. anonymous

amazing explanation @peachpi !!

34. anonymous

Okay. But I still need help with part A...

35. anonymous

@peachpi @Greg_D part A?

36. anonymous

Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)

37. anonymous

@Greg_D

38. anonymous

So what would I do with $17x ^{2}-90x+125$ that we came up with earlier?

39. anonymous

sorry, im not at the computer all the time ... i took a look at the entire post.. that H^2 was the answer for part A.. is done!

40. anonymous

Oh so that is the answer I just leave it like that. and its okay!

41. anonymous

yes, that is...

42. anonymous

Alright then I think I can answer part C by myself. Thank you so much @Greg_D and @peachpi for your time, patience, and help it means a lot!!

43. anonymous

i know you can! you made an excellent work with parts A and B keep it up!

44. anonymous

Thank you!!