How do i solve for X knowing the length of half of a diagonal and the whole length of the same diagonal?

Question

I have a parallelogram labeled TSQR and H is the midpoint. I am supposed to solve for X given SH= 2x+7 and SQ= 2x+14, how do i setup the equation to solve for X?

Answer 1

Hi Rajanae,

 

I am interested in helping you with this problem, but I have a question about your problem statement. Is it possible that the parallelogram is labeled TSRQ, instead of "TSQR". The letters are conventionally read clockwise around the object.  This problem is likely trying to get you to use a relationship between the equations you have in order to solve for the unknown ("x")

 

 

 

My thoughts-

If the parallelogram appears on your page like this

 

  T _____________S

    /                     /

   /         H          /

Q/____________/R

 

 

 

 

Then you know that SH =1/2 (SQ).

You can build an equation which is solvable for x.

 

If it doesn't look like the figure I've sketched out above, please consider contacting me and we can talk more about how to work with the information you've been given.

 

 

--------------------

I hope you found this information helpful

-Michael

http://www.wyzant.com/Tutors/Michaels_Tutoring