Question

Find the length of the midsegment.

11
14
18
28

Answer 1

14 I think but I'm not sure. 2(3x+2)=2x+20

Answer 2

The mid segment is 14 units in length.

Explanation:

We are given the following information in the question:

Mid segment:

• A mid segment of a triangle is a segment that connects the midpoints of two sides of a triangle.

• It is always parallel to the third side.
• The length of the mid segment is half the length of the third side.

Thus, we can write:

`3x+2 = \displaystyle(1)/(2)(2x+20)\\\\3x+2 = x +10\\3x-x=10-2\\2x = 8\\x = 4`

Length of mid segment =

`3x + 2\\\text{Put x = 4}\\3(4) + 2 = 14`

The mid segment is 14 units in length.