anonymous
  • anonymous
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)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
me
anonymous
  • 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
anonymous
  • anonymous
17x2-90x+125

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anonymous
  • anonymous
okay.
anonymous
  • 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
anonymous
  • anonymous
So for the area I would use the squared expressions in the formula or the original?
anonymous
  • anonymous
the original
anonymous
  • anonymous
okay
anonymous
  • 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..
anonymous
  • anonymous
ok
anonymous
  • anonymous
for the area you need to use the originals
anonymous
  • anonymous
I'm going to get my sister to help me but thank you!!
anonymous
  • anonymous
ok, just ask here if you need any more help...
anonymous
  • anonymous
@Greg_D my sister wasn't very much help can you still help me?
anonymous
  • anonymous
ill help
anonymous
  • anonymous
okay
anonymous
  • anonymous
what is the question
anonymous
  • anonymous
the same one^
anonymous
  • anonymous
ok
anonymous
  • anonymous
@loveemmmma how far did you get with what @Greg_D suggested?
anonymous
  • anonymous
I got the \[17x ^{2}-90x+125\] = H^2
anonymous
  • 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?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
OK. use it to multiply
anonymous
  • anonymous
sorry, i was away from the computer, i see everything goes fine anyway :)
anonymous
  • anonymous
I'm not sure but I think it might be \[12x ^{2}-5x+25\] I'm really bad at math.. :/
anonymous
  • anonymous
@peachpi @Greg_D is this right??^
anonymous
  • anonymous
|dw:1433812321296:dw| Divide by 2 to get 2x²-15x+25
anonymous
  • anonymous
oh okay I see what you did.
anonymous
  • anonymous
So that would be the area of the triangle right?
anonymous
  • anonymous
anonymous
  • anonymous
yes! that would be the area expressed as function of x
anonymous
  • anonymous
amazing explanation @peachpi !!
anonymous
  • anonymous
Okay. But I still need help with part A...
anonymous
  • anonymous
anonymous
  • anonymous
Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)
anonymous
  • anonymous
anonymous
  • anonymous
So what would I do with \[17x ^{2}-90x+125\] that we came up with earlier?
anonymous
  • 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!
anonymous
  • anonymous
Oh so that is the answer I just leave it like that. and its okay!
anonymous
  • anonymous
yes, that is...
anonymous
  • 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!!
anonymous
  • anonymous
i know you can! you made an excellent work with parts A and B keep it up!
anonymous
  • anonymous
Thank you!!

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