Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By jakncoke

Math Help - Right Triangle problem

  1. #1
    Newbie
    Joined
    Dec 2012
    From
    Michigan
    Posts
    4

    Right Triangle problem

    Hi, I've been working on this problem for a while now and can't seem to figure it out. I know the right answer but I'm having problems getting to it on my own.

    Here's the problem: "Find the length of the shorter leg of a right triangle if the longer leg is 3cm more than the shorter leg and the hypotenuse is 6cm more than the shorter leg."

    Here is the what I have so far, I know the answer is 9cm but I cannot figure out how they got to that.

    Shorter leg = x, longer leg = x+3, hypotenuse = x+6. Using a2 + b2 = c2 I get x2 + (x+3)2 = (x+6)2

    x2 + x2 + 9 = x2 + 36

    2x2 + 9 = x2 + 36
    -9 - 9
    2x2 = x2 + 27
    -x2 -x2

    x2 = 27 ??????
    Last edited by mathematics123; December 15th 2012 at 06:31 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member jakncoke's Avatar
    Joined
    May 2010
    Posts
    387
    Thanks
    80

    Re: Right Triangle problem

    You are correct until the  x^2 + (x+3)^2 = (x+6)^2 I think maybe you distributed wrong.  (x+6)^2 \not = x^2 + 6^2

    Here,  (x + 6)^2 = (x+6) * (x+6) = x*x + x*6 + 6*x + 6*6 = x^2 + 12x + 36
     (x+3)^2 = (x+3)*(x+3) = x*x + x*3 + 3*x + 3*3 = x^2 + 6x + 9
    Thanks from mathematics123
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2012
    From
    Michigan
    Posts
    4

    Re: Right Triangle problem

    Thank you very much!! I knew that too, I can't believe I did that.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Isosceles triangle problem Using right triangle trig
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: March 25th 2012, 09:08 PM
  2. Triangle Problem
    Posted in the Geometry Forum
    Replies: 4
    Last Post: June 23rd 2011, 07:27 AM
  3. Triangle Problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 20th 2009, 10:52 AM
  4. Triangle problem
    Posted in the Geometry Forum
    Replies: 5
    Last Post: June 23rd 2009, 07:42 AM
  5. triangle problem
    Posted in the Geometry Forum
    Replies: 5
    Last Post: March 16th 2007, 12:43 PM

Search Tags


/mathhelpforum @mathhelpforum