### Video Transcript

Given that ๐ด๐ธ๐น๐ท is a parallelogram, where ๐ธ and ๐น are the midpoints of ๐ท๐ต and
๐ท๐ถ, respectively, find the length of ๐ถ๐ต.

So our goal is to find the length of ๐ถ๐ต. So letโs begin going through what weโre given. We are given that ๐ด๐ธ๐น๐ท is a parallelogram. And we know that ๐ท๐ด is 2.6 centimeters.

Well, in a parallelogram, opposite sides are congruent.

So that means ๐น๐ธ would also be 2.6 centimeters. Next, weโre given information about midpoints. ๐ธ is the midpoint of ๐ท๐ต. And F is the midpoint of ๐ท๐ถ.

The length of a line segment joining the midpoints of two sides of a triangle is
equal to half the length of the third side. So if we look at this triangle, triangle ๐ถ๐ท๐ต, we are told the length of the line
segment joining the two midpoints on the two sides of the triangle will be half of
the length of the third side, side ๐ถ๐ต.

So ๐น๐ธ should be equal to half of ๐ถ๐ต. Well, we know that ๐น๐ธ is equal to 2.6. So to solve for ๐ถ๐ต, we can multiply both sides of the equation by two. And two times 2.6 is 5.2.

Therefore, the length of ๐ถ๐ต will be equal to 5.2 centimeters.