February 9th, 2019, 04:03 PM  #1 
Newbie Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0  Triangle question from a Math "Dummy"?
No math background... But need help. What is the "?ft." measurement? Any questions? Thanks! 
February 10th, 2019, 12:28 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
The area of a triangle can be calculated as half its base multiplied by its height. If the desired width is x feet, 43*21/2 = 43*8/2 + 21*x/2, so x = 43*13/21. 
February 10th, 2019, 04:05 AM  #3 
Newbie Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0  Graybox?
I fear I may not be asking the right question.* Let me try to clarify... What are the dimensions of the "graybox"?* Given is the 8ft. side by ???*
Last edited by skipjack; February 10th, 2019 at 06:59 AM. 
February 10th, 2019, 05:57 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
longersideof"graybox" = 43  344/21 = ~26.62 ft. If you want to understand why, google "right triangles" and "similar triangles". If you have more questions, come back with a labelled diagram so we can clearly refer to it... Last edited by skipjack; February 10th, 2019 at 06:42 AM. 
February 10th, 2019, 06:51 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
I happened to use the word "width" rather than "length", but the value 43*13/21 is correct. As a mixed fraction, it's 26 13/21.

February 10th, 2019, 02:34 PM  #6 
Newbie Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0  26.62 ft.
26.62 ft. it is... Thanks!

February 10th, 2019, 02:53 PM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
That's 26 feet and 7.44 inches.... Are you a carpenter building something? 
February 10th, 2019, 03:03 PM  #8 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
7.43

February 10th, 2019, 03:31 PM  #9  
Newbie Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0  Reason... Quote:
Attached: Inside the RED circle is a building/plotplan. The arrow points to the "triangle" of land. I want to add an 8ft. secondstory deck, and needed to know how long I can build an 8ft. deck.  
February 10th, 2019, 03:32 PM  #10 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
7.4285714285695


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