Name ________________________________________________________ Date ___________
Per_______
Pythagorean Theorem Practice
1.
If ∆KMP is a right triangle formed by the
placement of 3 squares, what is the area of the
shaded square?
3.
9 in
The drawing below shows 3 square parking
lots that enclose a grassy area shaped like a
right triangle. If Lot A’s Perimeter is 300 yards,
and Lot B’s perimeter is 400 yards, what is the
perimeter of Lot C?
K
15in 2
M
A.
B.
C.
D.
2.
P
135 in
24 in
66 in
81 in
What is the area of the largest square in the
diagram?
A.
B.
C.
D.
4.
500 yd
700 yd
1400 yd
2000 yd
In town, there is a small garden shaped like a
triangle, as shown below. The side of the
garden that faces 6th Street is 80 ft in length.
The side of the garden that faces 3rd Avenue is
30 feet in length. What is the approximate
length of the side of the garden that faces Elm
Street?
6th St.
3rd Ave.
A.
B.
C.
D.
5 units
9 units
16 units
25 units
A.
B.
C.
D.
35 ft
40 ft
85 ft
110 ft
5.
A square park has a diagonal walkway
from 1 corner to another. If the walkway is
about 38 yards long, what is the
approximate length of each side of the
park?
7.
Jake’s square backyard covers an area of
104 square meters. How can Jake best
determine the length of the each side of
his backyard?
A.
A.
B.
C.
D.
6.
6 yd
19 yd
27 yd
54 yd
B.
C.
D.
Mr. Carpenter built a wooden gate as
shown below. Which is closest to the
length in feet of the diagonal board that Mr.
Carpenter used to brace the wooden gate?
A.
B.
C.
D.
4.9 ft
5.3
6.1
6.9
1 ft
6 ft
Brace
1 ft
3.5 ft
Divide the area by the number of
sides
Square the area
Find the square root of the area
Divide the area in half