Results 1 to 4 of 4

Math Help - Perimeter of right triangle?

  1. #1
    Newbie
    Joined
    Dec 2011
    Posts
    4

    Perimeter of right triangle?

    I'm doing a study guide and one question that has had me stumped is this: you have to find the perimeter of a right triangle with a hypotenuse of 10 square root of 3 and a measurement of 30. I know I'm supposed to follow the 30 60 90 format, but.....
    Last edited by mr fantastic; January 9th 2012 at 08:36 PM. Reason: Title.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Perimeter of right triangle???

    In a 30-60-90 triangle, what are the ratios of the sides to one another?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2011
    Posts
    4

    Re: Perimeter of right triangle???

    Well, 60 degrees is across from the 10 square root of 3 and the 30 degrees is across from B (there's no number)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Perimeter of right triangle???

    The hypotenuse is opposite the 90 angle and is given as 10\sqrt{3}.

    The 30 angle is opposite the shorter leg, and the 60 angle is opposite the longer leg. Since you state you are supposed to use the 30-60-90 format, I took that to mean you have been given the ratios of the sides to one another in such a triangle. If not, we can use some basic trigonometry to get these ratios:

    Let a be the shorter leg, b be the longer leg, and c the hypotenuse. Using the definition:

    \sin\theta=\frac{\text{opposite}}{\text{hypotenuse  }}

    on the 3 angles, what do you find?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. triangle perimeter
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 18th 2010, 07:25 AM
  2. Perimeter of a triangle
    Posted in the Algebra Forum
    Replies: 13
    Last Post: January 8th 2010, 06:16 PM
  3. perimeter of a triangle?? huh??
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 26th 2008, 07:55 PM
  4. Perimeter of a Triangle
    Posted in the Geometry Forum
    Replies: 4
    Last Post: July 23rd 2007, 04:50 PM
  5. perimeter of a triangle
    Posted in the Geometry Forum
    Replies: 5
    Last Post: June 13th 2007, 08:16 PM

Search Tags


/mathhelpforum @mathhelpforum