Results 1 to 3 of 3

Math Help - Congruent Squares

  1. #1
    Member
    Joined
    Mar 2010
    Posts
    144

    Congruent Squares

    Squares A and B are congruent. One vertex of B is at the center of A. What is the ratio of the shaded area to the area of square A? Why? (The lengths of the sides of the shaded quadrilateral are not given.)
    Congruent Squares-heron-f.jpg
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by MATNTRNG View Post
    Squares A and B are congruent. One vertex of B is at the center of A. What is the ratio of the shaded area to the area of square A? Why? (The lengths of the sides of the shaded quadrilateral are not given.)
    Click image for larger version. 

Name:	Heron F.jpg 
Views:	118 
Size:	9.3 KB 
ID:	19349
    1. I've modified your sketch a little bit.

    2. The result is now obvious.
    Attached Thumbnails Attached Thumbnails Congruent Squares-viertelquadrat.png  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,429
    Thanks
    1857
    "Tilt!"
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Is S_3 congruent to D_3?
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 29th 2011, 08:24 PM
  2. Magic squares of Squares
    Posted in the Math Puzzles Forum
    Replies: 5
    Last Post: September 22nd 2010, 10:58 AM
  3. x^6 congruent to 1 (mod 19)
    Posted in the Number Theory Forum
    Replies: 10
    Last Post: March 2nd 2010, 07:54 PM
  4. Replies: 4
    Last Post: November 13th 2009, 06:12 PM
  5. congruent mod 9
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: January 11th 2007, 08:07 PM

Search Tags


/mathhelpforum @mathhelpforum