Results 1 to 3 of 3

Thread: triangles

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    1

    triangles

    hello...got a quick question..3.) A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by ralf klien View Post
    hello...got a quick question..3.) A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
    $\displaystyle A_{rectangle}=12\cdot{8}=96$

    $\displaystyle A_{triangle}=A_{rectangle}$

    So $\displaystyle A_{rectangle}=\frac{1}{2}b\cdot{h}=96$

    We know that $\displaystyle b=32$

    So$\displaystyle 96=\frac{1}{2}\cdot{32}\cdot{h}$

    solve for h
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    5
    Quote Originally Posted by ralf klien View Post
    hello...got a quick question..3.) A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
    Since $\displaystyle lw=\frac{1}{2}bh$ where l=length, w=width, b=base, and h=height (or altitude). Solving for h we have: $\displaystyle h=\frac{2lw}{b}=\frac{2(12)(8)}{32}=6 \ inches$.

    Hope this makes sense!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Mar 19th 2011, 04:42 AM
  2. Triangles
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Mar 8th 2011, 10:37 AM
  3. Triangles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: Apr 12th 2009, 05:59 AM
  4. triangles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: Mar 24th 2009, 07:06 AM
  5. How Many Different Triangles?
    Posted in the Geometry Forum
    Replies: 0
    Last Post: Oct 16th 2008, 06:29 PM

Search Tags


/mathhelpforum @mathhelpforum