What is the length of the Midsegment?
12
18
6
9

The length of Midsegment = 9

Step-by-step explanation:

the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side.

According to the Midsegment Theorem:

Thus,

The midsegment (x+4) is half the length of the third side (4x-2). so

Subtract 4 from both sides

Subtract 2x from both sides

Simplify

divide both sides by -1

Simplify

As

The length of Midsegment = x+4

                                             = (5) + 4        ∵ x = 5

                                             = 9

Therefore, the length of Midsegment = 9

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x