If the lengths of two bases of a trapezoid are 10m and 16m respectively, then what is the length of the median

The median of a trapezoid is parallel to its bases, and its length is equal to one-half of the sum of their lengths.

m = 1/2 ( b + b' )

can you solve this now?
post back if you need more help

I am confused, do I separate the two first?

b = 10m, b' = 16m

m = 1/2 ( b + b' )
m = 1/2 (10 + 16)
m = 1/2 (26)
m = 13

Thank you, I understood your first post. Good luck Will.

you're welcome

If Trapezoid JUNE has bases of length 12 and 30, what is the length of its median segment?

To find the length of the median of a trapezoid, we first need to understand what a median is in this context. In a trapezoid, the median is the line segment that connects the midpoints of the two non-parallel sides.

To find the length of the median, we can follow these steps:

1. Determine the midpoints of the two non-parallel sides. Let's call them A and B.

2. Calculate the distance between A and B using the formula for the distance between two points in a coordinate plane.

3. The calculated distance is the length of the median.

Now, let's apply these steps to the given trapezoid.

Step 1: Determine the midpoints A and B.
The two bases of the trapezoid have lengths of 10m and 16m respectively. To find the midpoints, we divide the sum of the lengths of the bases by 2.

Midpoint of the first base = 10m / 2 = 5m
Midpoint of the second base = 16m / 2 = 8m

So, A = 5m and B = 8m.

Step 2: Calculate the distance between A and B.
To calculate the distance between A and B, we use the formula for the distance between two points: d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of A are (5, 0) and the coordinates of B are (8, 0). As the y-coordinates are the same, we can omit them from the formula.

Distance = sqrt((8 - 5)^2 + (0 - 0)^2)
= sqrt(3^2 + 0^2)
= sqrt(9)
= 3m

Step 3: The length of the median is 3m.

Therefore, the length of the median of the trapezoid is 3m.