Use triangle midsegments to solve problems

1. Triangle Midsegments
The student is able to (I can):
• Identify a midsegment of a triangle and use it to solve
problems.

2. midsegmentmidsegmentmidsegmentmidsegment –––– a segment that joins the midpoints of two
sides of a triangle.
H
O
T
I C
E
Points I, C, and E are
midpoints of ΔHOT.
, ,andIC CE EI
are midsegments.

3. Triangle Midsegment Theorem
A midsegment of a triangle is parallel to a side of the
triangle, and its length is half the length of that side.
H
O
T
I C
E
1
,
2
IC HT HT=IC

4. Examples Find each measure.
1. FE
2. m∠UFE
3. UE
F
L
U
T
E
S
14141414
62626262°°°°
andLT TS
are midsegments.
9

5. Examples Find each measure.
1. FE
FE = 2(LT) = 2(14)
= 28
2. m∠UFE
m∠UFE = m∠TSE
= 62°
3. UE
UE = 2(9) = 18
F
L
U
T
E
S
14141414
62626262°°°°
andLT TS
are midsegments.
9