Results 1 to 2 of 2

Math Help - Given the altitude:

  1. #1
    Mel
    Mel is offline
    Junior Member
    Joined
    Sep 2008
    Posts
    36

    Given the altitude:

    The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments such that their lengths are in the ratio of 1:4. If the length of the altitude is 8, find the length of: (a) each segment of the hypotenuse and (b) the longer leg of the triangle.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Mar 2009
    Posts
    12
    Let L be the hyp of the triangle . Its area = 0.5 x L x 8 = 4L --- (1)

    The smaller triangle formed has a base of (1/5) L with a height 8 .

    Its third side = [ 8^2 + L^2 / 5 ^2] ^ 0.5 .

    The larger of the two triangles formed has a base of (4/5)L and height of 8.

    Its third side = [ 8^2 + 16L^2 / 25] ^ 0.5

    The area of the triangle formed by

    [ 8^2 + L^2 / 5 ^2] ^ 0.5 , [ 8^2 + 16L^2 / 25] ^ 0.5 and L is

    0.5 x [ 8^2 + L^2 / 5 ^2] ^ 0.5 x [ 8^2 + 16L^2 / 25] ^ 0.5 = 4L

    from (1) as both are the same triangle. Solve for L and find

    1/5 L , 4/5 L and , [ 8^2 + 16L^2 / 25] ^ 0.5
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Median & Altitude
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 7th 2013, 06:24 PM
  2. Altitude
    Posted in the Geometry Forum
    Replies: 6
    Last Post: February 21st 2010, 06:10 AM
  3. Altitude of a triangle?
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 2nd 2009, 03:31 AM
  4. altitude equation
    Posted in the Geometry Forum
    Replies: 7
    Last Post: July 11th 2008, 01:05 AM
  5. Altitude Length
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 16th 2007, 02:19 PM

Search Tags


/mathhelpforum @mathhelpforum