Question 926073: If DE = 37 cm and EF = 14 cm, then what are the possible lengths for DF so that line DE, line EF, and line DF can form a triangle? Explain your reasoning.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! x = length of missing side
it turns out that if you have a triangle with sides a,b,c with c being the missing side, then c is going to make the following true:
a-b < c < a+b
Note: this implies that a >= b
-------------------------------------------------------
in this case, x = c, a = 37 and b = 14, so...
a-b < c < a+b
37-14 < x < 37+14
23 < x < 51
-------------------------------------------------------
Final Answer:
The possible lengths for DF are any length between 23 and 51. You do NOT include 23 and you do NOT include 51.
------------------------------------------------------------------------------------------------------------------------
If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).
Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.
Jim
------------------------------------------------------------------------------------------------------------------------
|
|
|
