Question

Square Roots Discussion Required Resources Read/review the following resources for this activity: OpenStax Textbook Readings Lesson in Canvas Assignments in Knewton Understanding Square Roots Simplifying Square Root Expressions Multiplying Square Root Expressions Dividing Square Root Expressions Adding and Subtracting Square Root Expressions Triangles and the Pythagorean Theorem Solving Radical Equations Initial Post Instructions One of the most famous formulas in mathematics is the Pythagorean Theorem. It is based on a right triangle,and states the relationship among the lengths of the sides as a2+ b2= c2, where a and b refer to the legs of a right triangle and c refers to the hypotenuse. It has immeasurable uses in engineering, architecture, science, geometry, trigonometry, algebra, and in everyday applications. For your first post, search online for an article or video that describes how the Pythagorean Theorem can be used in the real world. Provide a one paragraph summary of the article or video in your own words. Be sure you cite the article and provide the link.

Answer 1

The Pythagorean Theorem is expressed as a² + b² = c² and is used to relate the sides of a right triangle, especially in practical applications like engineering and navigation to find straight-line distances.

Step-by-step explanation:

The Pythagorean Theorem, one of the most well-known mathematical formulas, is formulated as a² + b² = c², and it defines the relationship between the lengths of the sides of a right triangle.

Here, 'a' and 'b' are the lengths of the legs of the triangle, and 'c' is the length of the hypotenuse.

To find the unknown length of the hypotenuse, we can rearrange the formula to c = √(a² + b²).

This theorem is widely used in various fields such as engineering, architecture, and navigation.

For example, if the lengths of 'a' and 'b' were known to be 9 and 5 blocks in a city grid, the distance 'c' can be found by calculating √(9² + 5²), demonstrating how the theorem can be applied to determine the straight-line distance between two points.