Name:
Pythagorean Theorem: Word Problems
1.) Find the diagonal length of a rectangular TV screen with a length and width of 28 inches
by 45 inches. (A diagonal in a square or rectangle is a line connecting opposite vertices.)
TV screen
28 inches
45 inches
2.) You are walking around a square park with sides of 125 feet. At the same time, a friend is
trying to catch up to you and cuts across the park diagonally from where you started to
where you will end up.
a.)What is the distance you will travel?
b.)What is the distance your friend will travel?
your path
c.)How much less distance will your friend travel than you?
3.) Find the height of an equilateral triangle using the Pythagorean theorem if each side
measures 6 cm. (Note: the height bisects the bottom side of the triangle.)
a. What is the height of the triangle?
b. What is the perimeter of the triangle?
c. What is the area of the triangle?
Name:
Pythagorean Theorem: Word Problems
4.) ΔDEF  ΔGHJ. (Remember ‘’ means similar, which means they are proportional).
E
H
3m
2.3m
D
G
F
5.2m
J
a.) What is the scale factor of ΔDEF to ΔGHJ?
b.) Find the length of GJ.
c.) Find the length of HJ.
5.) What is the measure of KL?
5.7 cm
O
4 cm
1.2 cm
K
L
N
6.) You are at a hardware store getting tiles for your square living room, but you can’t
remember how much tile you need to get. You find a drawing of your kitchen and living
room in your pocket that has the dimensions of your kitchen, but not of your living room.
Find the area of your living room so you know how many tiles to get with the given
information?
a.) What is the hypotenuse of the
triangle?
8 ft
Kitchen
6.5 ft
Living Room
b.) What is the area of the living
room?