Pythagorean Theorem

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A suitcase measures 25 inches long
and 14 inches wide. What is the
diagonal length of the suitcase to the
nearest tenth of an inch?
A.) 20.2 in
B.) 31.8 in
C.) 26.4 in
D.) 28.7 in
In a right triangle, if the hypotenuse
measures 30cm and one leg measures
18cm, what is the length of the missing
leg?
A.) 15 cm
B.) 10 cm
C.) 24 cm
D.) 13 cm
Tyler leaves his home and rides his bicycle 7km
north. He then turns and cycles 5km west ending at
a friend's house. Calculate the shortest distance
between Tyler's house and his friend's house to the
nearest tenth of a kilometer.
A.) 12.0 km
B.) 8.6 km
C.) 8.1 km
D.) 12.5 km
The mast of a sailboat is 4m high and
measures 9m on the diagonal. What is the
distance to the nearest tenth of meter from
the bottom of the mast to the tip of the
diagonal of the sail?
A.) 8.9 m
B.) 7.4 m
C.) 8.1 m
D.) 7.8 m
After a long day of painting, Ryan rests his
16ft ladder against the wall. The distance
from the base of the ladder to the wall is
6.3 ft. To the nearest tenth of a foot, how far
up the wall does the ladder reach?
A.) 22.3 ft
B.) 14.7 ft
C.) 14.1 ft
D.) 9.7 ft
A ramp is placed from a ditch to a main
road which is 2 ft above the ditch. If the
length of the ramp is 12 ft, how far away is
the bottom of the ramp from the road to
the nearest tenth of a foot?
A.) 11.8 ft
B.) 10 ft
C.) 11.1 ft
D.) 14 ft
Christian wants to swim across a river that is 40
meters wide. He begins swimming perpendicular to
the shore he started from but ends up 10 meters
down river from where he started because of the
current. To the nearest tenth of a meter, how far did
he actually swim from his starting point?
A.) 38.7
B.) 45.6 m
C.) 50 m
D.) 41.2 m
Determine if the following
measurements can make a right
triangle: 8. 15, 17.
A.) Yes
B.) No
Determine if the following side
lengths can make up a right triangle:
9, 13, 20.
A.) Yes
B.) No
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