Results 1 to 3 of 3

Thread: triangle altitude help

  1. #1
    Junior Member
    Joined
    Oct 2013
    From
    nevada
    Posts
    58

    triangle altitude help

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,608
    Thanks
    1714

    Re: triangle altitude help

    Hey vegasgunner.

    Your best bet is to draw a diagram (like you did in your other question that you posted) as a starting point.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    12,028
    Thanks
    849

    Re: triangle altitude help

    Hello, vegasgunner!

    $\displaystyle \text{Altitudes }AX\text{ and }BY\text{ of acute triangle }ABC\text{ intersect at }H.$
    $\displaystyle \text{If }\angle BAC = 43^o\text{ and }\angle ABC = 67^o,\text{ then what is }\angle HCA\,?$

    Code:
                  C
                  o
                 ** *  X
              Y * *   o
               o  * .   *
              *   o       *
             *  . *H  .     *
            * .   *       .   *
           *43o   *           . *
        A o   *   o   *   *   *   o B
                  Z
    In a triangle, the three altitudes are concurrent.
    Hence, $\displaystyle CHZ$ is an altitude.
    . . $\displaystyle \angle CZA = 90^o$

    In right triangle $\displaystyle CZA,\;\angle ZAC = 43^o.$

    Therefore: $\displaystyle \angle HCA = \angle ZCA = 47^o.$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Concerning the altitude of an equilateral triangle
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Aug 22nd 2011, 01:16 AM
  2. Replies: 5
    Last Post: Aug 28th 2009, 02:25 PM
  3. Altitude of a triangle?
    Posted in the Geometry Forum
    Replies: 1
    Last Post: Mar 2nd 2009, 02:31 AM
  4. Altitude of an Equilateral triangle?
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Feb 27th 2009, 10:20 AM
  5. Replies: 0
    Last Post: Jul 31st 2008, 05:49 AM

Search Tags


/mathhelpforum @mathhelpforum