I need help with these mid segments, only 9 and 10

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

Using mid-segment theorem, we get

Divide both side by 3.

Therefore, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

Using mid-segment theorem, we get

Divide both side by 4.

Therefore, the value of n is equal to 8.

try soting them out first

step-by-step explanation:

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32