1. Miguel has to walk to his aunt’s house. How many more miles
does he walk if he stops at the post office on his way versus just
going directly to his aunt’s house?
2. Find the missing side of a right triangle with a leg of 4 yards and
a leg of
yards.
3. Find the values of x and y. Leave your answer in simplest radical
form.
6
y
x
4. A 30 foot ladder is leaning against a building. The top of the
ladder reaches a height of 28 feet. How far away from the base
of the building is the bottom of the ladder? Round to the
nearest hundredth.
5. Jorge needs to separate an 8 yd. by 12 yd. rectangular garden
into two congruent triangular gardens. What is the length of
fencing he will need to create the diagonal separation? Round
the nearest hundredth.
6. Simplify the following expressions:
1
a. 12
b.
7. A ship leaves port and sails 14 kilometers west and then 14
kilometers north. To the nearest kilometer, how far is the ship
from port?
8. Find the perimeter of the triangle.
9. Each side of a square checkerboard measures 40 cm. What is
the length of the diagonal of the board? Round to the nearest
hundredth.
10. Determine if the following sets of numbers make a right
triangle. Justify your response.
a. {13, 12, 5}
b. {5, 5, 5
}
11. A 9.8 meter inclined ramp rises over a horizontal distance of 9
meters. How tall is the ramp at its highest point to the nearest
hundredth of a meter?
12. Simplify the following:
a. 5
b.
13. The window of a burning building is 24 meters above ground.
The base of a ladder is placed 10 meters away from the
building. How long must the ladder be to reach the building?
14. Determine if the following sets of numbers are Pythagorean
Triples. Explain your response.
a. {5, 12, 9}
b. {2, 4, 2
}
c. {20, 21, 29}
15. Find the value of the missing side. Write your answer in
simplest radical form.