Question 1132732: The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD, CE, and DE respectively. Find CD and DE if CF=8 cm and EF=12 cm.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! here is a picture to use as reference
draw same picture and mark points as given
A rhombus  is inscribed in this triangle so that vertices  ,  , and  lie on the sides  ,  , and  respectively.
Since, in rhombus, the opposite edges are parallel,
 ║
=>
since given that  and  , we have
=>
That is,  and 
Therefore, 
But According to the question,
=>
=> 
Answer:  and 
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