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Example problem finding segment lengths using midsegment theorem in a triangle.

A geometry problem showing a triangle with midsegment DE, where AC = 8n + 10, DE = 5n + 1, and BE = 6n + 12. The solution calculates n = 4 and finds segment lengths: AC = 42, DE = 21, AE = 18, BE = 18.

A geometry problem showing a triangle with midsegment DE, where AC = 8n + 10, DE = 5n + 1, and BE = 6n + 12. The solution calculates n = 4 and finds segment lengths: AC = 42, DE = 21, AE = 18, BE = 18.

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