SOLUTION: 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

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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