Answer :

The length x of a side of the small inner square  is  mathematically given as

x= b-a

This is further explained below.

What is trigonometry?

Generally, The study of the connections between the lengths of the sides of triangles and the angles of those triangles is the subject of the mathematical discipline known as trigonometry.

Applications of geometry to astronomical research gave rise to the discipline in the Hellenistic era about the third century B.C.

What is the length x of a side of the small inner square?

Generally, the equation for x is  mathematically given as

b=x+a

Therefore

x= b-a

In conclusion, The formula for calculating the length x of a side of the smaller inner square is as follows: x = b minus a

Read more about trigonometry

https://brainly.com/question/26719838

#SPJ1

Complete Question

The  Complete Question  is attached below

View image okpalawalter8