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.
11.
It is given that:
Length of mid-segment = n+8
Length of parallel side = 6n
Using mid-segment theorem, we get
Divide both side by 2.
Therefore, the value of n is equal to 4.
12.
It is given that:
Length of mid-segment = 5n
Length of parallel side = 8n+10
Using mid-segment theorem, we get
Therefore, the value of n is equal to 5.