Chapter 8.2, Problem 52HP

To determine

To explain:

The use of Pythagorean Theorem for given condition.

Answer to Problem 52HP

The use of Pythagorean Theorem for given condition is explained as below.

Explanation of Solution

Given information:

Condition:

Use of the Pythagorean Theorem to find the length of the diagonal of rectangle.

In commensurable magnitudes are magnitudes of the same kind that do not have a common unit of measure.

Irrational numbers can be used to describe relationship such as ratio of incommensurable magnitudes that cannot be described using rational numbers.

Consider an example as, a square with $A=2unit{s}^2$ . Then the square is with $s\sqrt{2}units$ . The invention of the irrational number $\sqrt{2}$ is a milestone in the history of mathematics.