Question

How do you find the length of a base indicated on a trapezoid

Answer 1

The median is 13. The first base is 10. Use the formula (Base 1- Base 2) divided by 2. So (x-10)/2=13. x-10=26. x=36

Answer 2

The measure of the length of the base WZ is 36

From the trapezoid shown:

Base WZ  =  ?

The median, SR  =  13

The measure of XY  =  10

The median of the trapezoid is given by the formula:

$SR=\frac{WZ - XY}{2}$

Substitute SR = 13, XY = 10, and solve for WZ

$13=\frac{WZ-10}{2}$

Cross multiply

2(13)  =  WZ  -  10

26  =  WZ  -  10

Add 10 to both sides

26  +  10   =  WZ  -  10   +  10

WZ   =  36

Therefore, the measure of the length of the base WZ is 36

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