Question

find the length of the median of a trapezoid whose bases are 21cm and 26 cm?

Answer 1

Answer:

23.5 cm2

Step-by-step;

A=b1 +b 2

2h

so base 1 is 26 and base 2 is 21. Example that the length of the median of a trapezoid in this case 21 is equal to the average of the lengths of the bases. Or 1/2 the sum of the lengths of the bases.

Answer 2

Given,

Two bases of a trapezium = 21 cm and 26 cm.

To find,

Length of the median.

Solution,

The length of the median of a trapezium can be determined by using the relation given below.

$Median=\frac{1}{2} \times (a+b)$, or,

$Median=\frac{(a+b)}{2}$

Where,

a and b are the lengths of the two bases of the trapezium.

As for the given trapezium,

a = 21 cm, and,

b = 26 cm.

Thus, using the above relation, we get,

$Median=\frac{1}{2} \times (21+26)$

⇒ $Median=\frac{1}{2} \times 47$

⇒ Median = 23.5 cm.

Therefore, the length of the median of the given trapezium will be 23.5 cm.