MIDLINE THEOREM

• According to the Midline Theorem, the segment connecting two triangle sides at their midpoints is parallel to the third side and half its length.

Activity 1

• 48
• 29

• 26

• 13.5

• 18

=================

Activity 2

• 49

• 10

• 38

• X=3

• 21

=================

Solution:

Activity 1

1.MT?

• MT=VC×2

• MT=24×2

• MT=48

2.VC?

• VC=MT÷2

• VC=58÷2

• VC=29

3.AM?

• AM=VM×2

• AM=13×2

• AM=26

4.AC?

• AC=AT÷2

• AC=27÷2

• AC=13.5

5.AM + AT?

• AM + AT=AV×2 + CT × 2

• AM + AT=4×2+5×2

• AM + AT=8 + 10

• AM + AT= 16

=================

Activity 2

1.CL?

• CL=NO×2

• CL=24.5×2

• CL=49

2.DO?

• DO=LD÷2

• DO=20÷2

• DO=10

3.CD + DL

• CD + DL=ND × 2 + LO × 2

• CD + DL=9×2 + 10×2

• CD +DL=16 + 20

• CD + DL=36

4-5 Find the value of X.

• 3x-2 = 9x-13÷2

• 3x-2/1= 9x-13/2

• 6x-4=9x-13

• 6x-4+4=9x-13+4

• 6x=9x-9x

• 6x-9x=9x-9-9x

• -3x=-9

• -3x/-3=-9/-3

• X=3

Checking

• 3x-2

• 3×3-2

• 7✅

Checking

• 9x-13

• 9×3-13

• 14✅

NO+CL

• 7+14

• 21

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Hope it helps..