Find the length of the midsegment.
http://gyazo.com/03d6de82fb7a7d15d249f1056f864174

Question

Find the length of the midsegment.
http://gyazo.com/03d6de82fb7a7d15d249f1056f864174

directrix · Answer

This is the theorem you need:

The segment joining the midpoints of two sides of a triangle  (known as midsegment) has length half that of the third side of the triangle.

directrix · Answer

5x + 2 = (1/2)* (3x + 32)

@GeometryHelpPlz

anonymous · Answer

22

directrix · Answer

To help you get started, multiply both sides by 2 to clear the fractions.

5x + 2 = (1/2)* (3x + 32)
2(5x + 2) = 3x + 32
10x + 4 = 3x + 2
And, then ...

directrix · Answer

Let me see if I get 22.

anonymous · Answer

10x+4=3x+2 so 13x=6?

directrix · Answer

I messed this up by deleting a 2.

5x + 2 = (1/2)* (3x + 32)
2(5x + 2) = 3x + 32
10x + 4 = 3x + 32 --> not just 2


x = 4 so the midsegment is 22 as you posted earlier.

anonymous · Answer

Oh okay you put it way beter than they did thanks !

directrix · Answer

Alrighty, then. You are welcome.