Medians of Similar Triangles
How to find the medians of similar triangles: definition, example, and its solution.
The median of a triangle
is a line segment
a vertex and the midpoint of the opposite side.
It says these two triangles are similar.
So write [ ~ ] between the triangles.
Then their medians and sides are proportional.
The medians are 4 and x.
The sides are 5 and 7.
So 4/x = 5/7.
Solve the proportion.
Then 5x is equal to, 4⋅7, 28.
Divide both sides by 5.
Then x = 28/5.