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Easy: Find the midsegment
Joining the midpoints of two sides of a triangle makes a midsegment. It is parallel to the third side and exactly half its length, so the third side is twice the midsegment. With expressions, write midsegment × 2 = third side and solve.
D and E are the midpoints of two sides. Find the value of x.
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A segment joining the midpoints of two sides of a triangle. It is parallel to the third side and half its length.
Set up third side = 2 × midsegment. If the midsegment is x + 3 and the third side is 3x − 2, then 3x − 2 = 2(x + 3), so x = 8.
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