The side length of a square abcd is 18 inches. what is the side length of the square formed by joining the midpoints of the sides of abcd?

The side length of a square ABCD is 18 inches

Each side of square ABCD is 18 inches

The midpoints of ABCD are joined to form a square MNOP

The figure is attached below

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythoagorean theorem

Take square root on both sides

so the side of the square MNOP is  

answer: hey there,

the answer you are looking for is a..

hope this you!

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value