9
5
6
13
3
17
8
10
18
2
1
15
11
16
12
4
7
14
Problem 1
Michael wanted to build a walkway in
his backyard like the sketch show
below. What would be the
approximate length of the walkway?
 9.4
Problem 2
Which of the following equations would
represent the height of the light poll
A.
h  252  202
B.
h  252  202
C.
h  252  202
D.
h  252  202
Problem 3
The right triangle shown below is drawn with a
square adjacent to each side. What is the area of
the smallest square?
25
12 cm
2
cm
Problem 4
Victor was redoing his roof. The rafters are
labeled r in the picture below. What is the
length of one rafter?
15 ft
Problem 5
What is the perimeter of the triangle
shown below?
50 ft
Problem 6
The Texas Department of Transportation
wants to connect Dallas, Houston, and Austin
using the new Bullet Train. Using the map as a
guide, what is the difference between the
distance from Austin to Houston and Dallas to
Houston? Dallas
100 miles
200 miles
x miles
Austin 150
miles
Houston
Problem 7
Which of the following sets of number
could not represent the three side
lengths of a right triangle?
A. 5 cm, 12 cm, 13cm
B. 15 cm, 9 cm, 12cm
C. 16 cm, 12 cm, 20cm
D. 10 cm, 15 cm, 12cm
Problem 8
Sarah wanted to paint the side of the
staircase shown below a beautiful shade of
orange because she is a huge Texas Longhorn
fan. What is the area that she will be
covering in paint?
30 ft2
Problem 9
The proposed location of a new water tower intersects
a section of existing service road. Find x, the inside
length of the section of road that is intersected by the
water tower.
12 ft
8 ft
10 ft
Problem 10
Triangle ABC is similar to triangle XYZ.
What is the measure of XY?
A
X
15
cm
B
12 cm
5 cm
C
Y
4 cm
Z
Problem 11
Jeremy is designing a playground in the
shape of a right triangle, as shown below.
He found the
distance between
the seesaw and
the slide was 77.45
Between what two integers
would 77.45 fall?
8 and 9
Problem 12
A 25-foot flagpole is to be secured
with a wire that will extend from
the top of the pole to a stake in the
ground 20 feet from the base of
the pole. If x represents the
length of the wire to the nearest
foot, what is the value of x?
≈ 32 feet
Problem 13
Use the known lengths of the squares
that form the right triangle to find the
length x of the third square.
A
B
C
D
4.2 ft
5.3 ft
5.9 ft
6.2 ft
A
Problem 14
George is making a pennant for his favorite
baseball team. He wants the short edge to be 14
inches and the full length to be 24 inches.
14 in
24 in
25 inches
What is the length of diagonal side ?
Problem 15
What is the perimeter to the nearest
centimeter of the regular octagon drawn
below?
B
A 41 cm
B 36 cm
4.6 cm
4.6 cm
C 27 cm
4 cm
D 18 cm
Problem 16
A painting of an oil rig off Galveston is 9
inches wide and 12 inches long. What is
the length of a diagonal of the painting?
15 inches
Problem 17
The hypotenuse of a right triangle is 26
centimeters. The shorter leg is 10 centimeters.
What is the measure of the other leg?
24 cm
Problem 18
A rectangular plot of ground measures 48
meters by 20 meters. The owner plans to put a
diagonal walk from one corner to the opposite
corner. How long will the walk be?
52 meters