PM is the median of trapezoid KLNO. If ON = 24 centimeters and KL = 12 centimeters, which is the length of PM
6 centimeters i think!
the median is the average of the two bases: (16+24)/2 = 20
To find the length of PM, we need to understand the concept of a median in a trapezoid.
In a trapezoid, the median is the line segment that joins the midpoints of the non-parallel sides. In this case, KL and NO are the non-parallel sides, so we need to find the midpoint of KL and NO to determine the length of PM.
First, let's find the midpoint of KL. Since KL is a line segment, we can find the midpoint by simply taking the average of the coordinates of its endpoints:
Midpoint of KL = (1/2)(K + L)
Given that KL = 12 centimeters, we have two endpoints:
K = 0 cm
L = 12 cm
Substituting the values into the midpoint formula, we get:
Midpoint of KL = (1/2)(0 + 12)
= 6 cm
So, the midpoint of KL is 6 centimeters.
Next, let's find the midpoint of NO. Using the same approach, we calculate:
Midpoint of NO = (1/2)(N + O)
Given that ON = 24 centimeters and NO = 12 centimeters, we have two endpoints:
O = 0 cm
N = 24 cm
Substituting the values into the midpoint formula, we get:
Midpoint of NO = (1/2)(0 + 24)
= 12 cm
So, the midpoint of NO is 12 centimeters.
Now that we have the midpoints, the length of PM will be the distance between these two points.
PM = Midpoint of NO - Midpoint of KL
= 12 cm - 6 cm
= 6 cm
Therefore, the length of PM is 6 centimeters.