Results 1 to 3 of 3

Math Help - 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?
    A_{rectangle}=12\cdot{8}=96

    A_{triangle}=A_{rectangle}

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

    We know that b=32

    So 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
    Santa Cruz, CA
    Posts
    2,844
    Thanks
    3
    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 lw=\frac{1}{2}bh where l=length, w=width, b=base, and h=height (or altitude). Solving for h we have: 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: March 19th 2011, 04:42 AM
  2. Triangles
    Posted in the Geometry Forum
    Replies: 2
    Last Post: March 8th 2011, 10:37 AM
  3. Triangles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 12th 2009, 05:59 AM
  4. triangles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 24th 2009, 07:06 AM
  5. How Many Different Triangles?
    Posted in the Geometry Forum
    Replies: 0
    Last Post: October 16th 2008, 06:29 PM

Search Tags


/mathhelpforum @mathhelpforum