Discovering the Magic of Triangle Midsegments
- It is parallel to the third side of the triangle (the side it doesn’t touch).
- Its length is half the length of the third side of the triangle.
Examples
Practice Questions:
- Triangle \( JKL \) has sides \(JL = 12 \text{ cm} \), \(JK = 9 \text{ cm} \), and \(KL = 15 \text{ cm} \). Determine the length of the midsegment connecting the midpoints of sides \(JL \) and \(KL \).
- If the midsegment of triangle \(MNO \) is \(11 \text{ cm} \), and it connects the midpoints of sides \(MN \) and \(NO \), find the length of side \(MO \).
- The midsegment parallel to \(JK \) will have a length of \( \frac{15}{2} = 7.5 \text{ cm} \).
- \(MO \) will be \( 2 \times 11 = 22 \text{ cm} \).
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