PTSR
Name: _____________________________
Mr. Art
Date: _____________
Period: ___________
Review of the Pythagorean Theorem & Simplifying Radicals
1) Find the length of the ladder in feet.
2) When Mr. Art was in college at SUNY Geneseo, he used to take two driving routes to get there.
Using the map below and the distances provided, determine which route was better in terms of
mileage.

Route #1 is shown by the dotted line. (Drive northwest through Pennsylvania to Geneseo)

Route #2 is shown by the solid line. (Drive north to Saratoga Springs, then west to Geneseo)
3) Mr. Art bought a new 40 inch flat screen television (40 inches refers to the length of the diagonal). If
the width of the rectangular TV is 32 inches, what is the height in inches? (Tip: Draw a picture)
4) Can 7", 12" and 19" represent the lengths of the sides of a right triangle? You must show work and
thoroughly support your work with an explanation to receive full credit.
5) Simplify the following radicals to simplest radical form when necessary.
Easy
a)
48
Medium
b)
576
Hard
c)
3 98