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:

1. 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 \(KL \).
2. 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 \(MO \).

1. The midsegment parallel to \(JK \) will have a length of \( \frac{15}{2} = 7.5 \text{ cm} \).
2. \(MO \) will be \( 2 \times 11 = 22 \text{ cm} \).