james wants to tile his floor using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tile is 12 inches in length and the bottom base is 16 inches. how long of a cut will john need to make so that he cuts the tiles along the median

Respuesta :

It is 14 ,14 is the correct answer

Answer:

Length of a cut that James needs to make along the median = 14 inches

Step-by-step explanation:

Median of the trapezoid is the line segment joining the midpoints of the non parallel sides.

The formula to find the length of the median of a trapezoid is:

[tex]\frac{1}{2} (a+b)[/tex]

where a and b are the lengths of the parallel sides.

So, the length of the median that James needs to make is:

[tex]\frac{1}{2} (12+16)[/tex]

[tex]=\frac{1}{2} (28)[/tex]

= 14 inches