How to use the midsegment theorem to find the midsegment of a triangle: definition, theorem, example, and its solution.
The midsegment of a triangle
is a line segment
that connects the midpoints of two sides.
The midsegment theorem says that
the midsegment has two properties.
1. The midsegment and the opposite side
2. [midsegment] = (1/2)[opposite side]
The blue segment
connects the midpoints of two sides.
So the blue segment
is the midsegment of the given triangle.
(midsegment) = x
(opposite side) = 12
So, by the midsegment theorem,
x = (1/2)⋅12.
(1/2)⋅12 = 6
So x = 6.