Can somebody help, will give brainliest

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Answer:
Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.