Question

Medal! Find the length of the midsegment.

A. 26
B. 30
C. 80
D. 40

Answer 1

Do you know the rule for mid segments in comparison to other parts of the triangle?

Answer 2

No, I do not. Today was the first day in class the teacher introduced the midsegments.

Answer 3

So a mid segment is one half of the line it is Parallel to. So in your triangle, 6x+4 is one half of 4x+56. You will set up an equation that multiplys the mid segment length by 1/2 and set it equal to 4x+56. Then you will solve for x and then you will plug x back into the mindset end expression to get your answer!

Answer 4

I'm sorry, I still don't really understand.. How exactly do I set up the equation? @neonumbrella5115

Answer 5

So since the mid length is half the triangle side length your equation will be:
1/2(6x+4)=4x+56
Does that make sense with the info above? This is a difficult concept to grasp so no worries! ;D

Answer 6

Yeah... I still don't really seem to be getting it

Answer 7

Consider this possibility: The length of the midsegment is one half of the length of the corresponding side of the larger triangle. That is, 6x+4 = (1/2)(4x+56).

Work this out. Find x. check your answer. Then determine the length of the midsegment by substituting your value for x into 6x+4.,