The bases of a trapezium are 13cm and 9cm. Find the length of the median of the trapezium
Answers
Given:
Length of one base = 13 cm
Length of other base = 9 cm
To find:
The length of the median of the trapezium
Solution:
We know that the median of a trapezium is the line segment that joins the midpoints of the two non-parallel sides of the trapezium.
The median has 2 properties:
- parallel to each of the bases
- its length is equal to half the sum of the length of the bases
∴ Length of the median is given by,
= ½ × [(length of one base) + (length of other base)]
= ½ × [13 + 9]
= ½ × 22
= 11 cm
Thus, the length of the median if the trapezium is 11 cm.
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Given :- one base of trapezium =13 cm
another base of trapezium = 9cm
To find :- length of the median of the trapezium
Step-by-step explanation:
The length of the median is average of the length of the bases.
Let the trapezium be ABCD.
AB = Length of one base = 13 cm
CD = Length of another base = 9 cm
Now,
Length of median = (AB + CD)/2
On substituting the values, we get,
Length of median = (13 + 9)/2
Length of median = 22/2
∴ Length of median = 11 cm
The length of the median of the trapezium is 11 cm