Results 1 to 6 of 6

Math Help - triangle Question

  1. #1
    Newbie
    Joined
    Jun 2006
    Posts
    3

    triangle Question

    Hi, my daughter has a question I can't help her with...

    There is a right-angled triangle, base is 10cm plus 6cm, side is 12 cm, hypotenuese is unknown, there is a line about two-thirds (at the 10 and 6) of the way from top to bottom which is x. She needs to work out x, the answer is 7.5cm but we don't know how to get that answer.


    thanks a lo t
    Deb
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by DebfromOZ
    Hi, my daughter has a question I can't help her with...

    There is a right-angled triangle, base is 10cm plus 6cm, side is 12 cm, hypotenuese is unknown, there is a line about two-thirds (at the 10 and 6) of the way from top to bottom which is x. She needs to work out x, the answer is 7.5cm but we don't know how to get that answer.


    thanks a lo t
    Deb
    I hope this is what you need (well turned on its side anyway ):
    Attached Thumbnails Attached Thumbnails triangle Question-tri1.jpg  
    Last edited by CaptainBlack; June 9th 2006 at 05:08 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,735
    Thanks
    642
    Hello, Deb!

    I think I've interpreted the problem correctly . . .

    There is a right-angled triangle, base is 10cm plus 6cm, side is 12 cm, hypotenuese is unknown.
    There is a line about two-thirds (at the 10 and 6) of the way from top to bottom which is x.
    She needs to work out x.
    The answer is 7.5cm but we don't know how to get that answer.
    Not sure what you mean by "about two-thirds of the way from top to bottom".
    But here's my diagram.
    Code:
          *
          |   * 
          |       *
          |           *
       12 |           |   *    x
          |           |       *
          |           |           *
          * - - - - - * - - - - - - - *
                10            6
    Using Pythagorus: . hyp^2 = 12^2 + 16^2 = 400\quad\Rightarrow\quad hyp = 20


    From the similar right triangles: . \frac{x}{6} = \frac{20}{16}\quad\Rightarrow\quad x = 7.5
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jun 2006
    Posts
    3

    triangle Question

    Thanks for your efforts to help, I should have explained it a bit better. The 10 is at the 'pointy' end of the triangle and the 6 at the right angle end of the triangle. The x is the vertical line form the top to the bottom, as in the first response, not on the hyp. I think it's something to do with similar triangles and the ratio factor from what I've been reading.

    Thanks anyway, it's time for bed in Australia, so I'll look again in the morning!

    Deb
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Jun 2006
    Posts
    3

    triangle Question

    I just realised that Captain Black's answer works if I swap around the 10 and 6. So thank you!

    Deb
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by DebfromOZ
    I just realised that Captain Black's answer works if I swap around the 10 and 6. So thank you!

    Deb
    Your welcome, I'm glad we could be of some help.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Triangle dz/dt question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 8th 2010, 12:29 PM
  2. Triangle question
    Posted in the Geometry Forum
    Replies: 5
    Last Post: June 27th 2009, 01:50 AM
  3. triangle question
    Posted in the Geometry Forum
    Replies: 3
    Last Post: December 4th 2008, 06:04 AM
  4. triangle question
    Posted in the Geometry Forum
    Replies: 1
    Last Post: November 18th 2008, 11:16 AM
  5. A triangle question
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 25th 2005, 01:24 AM

Search Tags


/mathhelpforum @mathhelpforum