Results 1 to 3 of 3

Thread: Math 111 College Algebra-Expressing the area of a right triangle.

  1. #1
    Newbie
    Joined
    Sep 2017
    From
    Astoria, Oregon
    Posts
    1

    Exclamation Math 111 College Algebra-Expressing the area of a right triangle.

    The vertices of a right triangle in the first quadrant are (0, n), (0,0) and (k, 0).

    Draw a picture that represents the situation described.
    If the hypotenuse passes trough the point (5,2), express the area of the triangle in terms of k.

    Please explain how you got your answer, this is the first time I have encountered a problem like this, and my instructor didn't find it necessary to ask if the class had ever seen this problem before.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    1,116
    Thanks
    465

    Re: Math 111 College Algebra-Expressing the area of a right triangle.

    Here's most of the solution. You should be able to finish.

    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,363
    Thanks
    2680
    Awards
    1

    Re: Math 111 College Algebra-Expressing the area of a right triangle.

    Quote Originally Posted by emilee View Post
    The vertices of a right triangle in the first quadrant are (0, n), (0,0) and (k, 0).
    Draw a picture that represents the situation described.
    If the hypotenuse passes trough the point (5,2), express the area of the triangle in terms of k.
    The area of the triangle is $A=.5nk$
    Because the points $(0,n),~(5,2),~\&~(k,0)$ are on the same line, then the must determine the same slope.

    Thus $ \begin{align*}\dfrac{n-0}{0-k}&=\dfrac{2-0}{5-k} \\ n&=\dfrac{2k}{k-5} \end{align*}$

    Now you have a simple substitution.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A tough (for me) math problem, find area of triangle
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Jun 13th 2017, 12:05 PM
  2. setting up limit expressing area
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 19th 2012, 09:05 PM
  3. Expressing area in terms of..
    Posted in the Calculus Forum
    Replies: 0
    Last Post: Dec 3rd 2008, 07:54 PM
  4. Replies: 1
    Last Post: Nov 25th 2008, 12:29 AM
  5. tricky math puzzle - algebra triangle
    Posted in the Math Challenge Problems Forum
    Replies: 3
    Last Post: Nov 10th 2007, 10:40 AM

Search Tags


/mathhelpforum @mathhelpforum