Question

WILL MEDAL!!

[4.01] Find the value of x.
A triangle drawn with a midsegment labeled x. The side parallel to the midsegment is labeled 60. (3 points)

40

10

20

30

Answer 1

help plz!

Answer 2

There is a theorem in Geometry, wich is called "mid-parallel segment" wich is quite useful when measuring mid-points in triangles.
I'll try to state it as simple as I possibly can.
"In any triangle ABC there exists two points M and N in such way that M=AB/2 and N=AC/2, the segment MN is half the lenght of the segment CB"
So, let's say that in the triangle you posted, the top point is "A", so we can form a triangle ABC, and let's say, the segment "x" cuts the triangle ABC in "M" and "N" respectively.

So, we can conclude, as an hypothesis, that M is the midpoint of AB and "N" the midpoint of AC.
then the segment BC is 60 units.
So applying the theorem I stated in the beginning, we say that MN=BC/2, wich means that x=60/2, concluding that x=30units