What is a discrete relation
1 answer:
You might be interested in
So : 
?
First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have
Add like terms -- 12 +24 = 36
Now we are at
Which is the lowest possible simplified version while remaining at exact value.
Feel free to check my math! I kinda did this off the top of my head.
First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have
Add like terms -- 12 +24 = 36
Now we are at
Feel free to check my math! I kinda did this off the top of my head.
In the given figure we can determine the coordinate of point M from the graph, we get:
We can also determine the coordinates of point N as:
Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:
Subtracting the fractions we get:
Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.
The coordinates of A are determined from the graph:
The coordinates of B are:
Therefore, the length of segment AB is:
Now we do the same procedure to determine the segment of CD. The coordinates of C are:
The coordinates of D are:
Therefore, CD is:
Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:
Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.