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The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base,


Sagot :

Answer:

27

Step-by-step explanation:

19+x/2=23

19+x=46

x=27

or 19-23=4

23+4=27

The length of the other base of the trapezoid is 27 meters.

What is a Trapezoid?

A trapezoid is a polygon with four sides, it has one pair of parallel sides.

The length of the base of a trapezoid is 19 meters.

The length of the median is 23 meters.

The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.

The value of median is half of the bases added together.

Median = (1/2) ( Base₁ +  Base₂)

Substituting the values in the formula to obtain the value of the other base.

Let x be the length of the other base,

23 = (1/2) * ( 19 + x)

23 *2 = 19+x

46 = 19 +x

x = 27 meters

The length of the other base is 27 meters.

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