CK-12 Geometry-Concepts

http://www.ck12.org Chapter 8. Right Triangle Trigonometry

8.2 Applications of the Pythagorean Theorem

Here you’ll learn several applications of the Pythagorean Theorem.

What if you had a 52" High Definition Television (52" being the length of the diagonal of the rectangular viewing
area)? High Definition Televisions (HDTVs) have sides in the ratio of 16:9. What is the length and width of a 52”
HDTV? What is the length and width of an HDTV with ay′′long diagonal?

Watch This

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/52515

CK-12 Foundation: Chapter8ApplicationsofthePythagoreanTheoremA

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/1364

James Sousa: Pythagorean Theorem and Its Converse

Guidance

There are many different applications of the Pythagorean Theorem. Three applications are explored below.

Find the Height of an Isosceles Triangle

One way to use The Pythagorean Theorem is to identify the heights in isosceles triangles so you can calculate the
area. The area of a triangle is^12 bh, wherebis the base andhis the height (or altitude).