1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: The area of a square with right triangle inside it

  1. Nov 15, 2014 #1
    1. The problem statement, all variables and given/known data

    I need to find the area of the square in the following figure:


    2. Relevant equations
    Basic Trig relations.

    3. The attempt at a solution
    I aimed to find the length of BC, but first I had to find the unknowns of the right triangle CDE, which are EC=5m, <DCE=36.86ْ , <DEC=53.13ْ .

    Then I thought that I can use some trig relation for angles to get <BDC and BCD respectively (since the angles of the square are all 90ْ).

    And that's where I am stuck. Any help?
    Last edited: Nov 15, 2014
  2. jcsd
  3. Nov 15, 2014 #2


    User Avatar
    Gold Member

    figure shows as a broken link
  4. Nov 15, 2014 #3
    Just fixed it. Sorry about that.
  5. Nov 15, 2014 #4


    User Avatar
    Gold Member

    Hm ... interesting problem. It seems as though there's likely to be some trick to it that you are not seeing, but whatever it is, I'm not seeing it either.
  6. Nov 15, 2014 #5


    User Avatar
    Homework Helper

    The upper two right triangles AED and BDC are similar. Look at the angles.

    Last edited: Nov 15, 2014
  7. Nov 15, 2014 #6


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Call BC = s, DB = y, and AD = s-y. It's easy to get two equations in s and y.
  8. Nov 18, 2014 #7
    I got it now. Thank you everyone for your help. I really appreciate it.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted