Lesson: Pythagorean Theorem
Lesson Topic: Use Pythagorean theorem to calculate the hypotenuse
Question 1:
What is the length of the hypotenuse?
ft
Question 2:
What is the length of the hypotenuse?
m
Question 3:
What is the length of the hypotenuse?
in
Question 4:
What is the length of the hypotenuse?
mi
Question 5:
What is the length of the hypotenuse?
in
(Round your answer to the nearest tenth.)
Question 6:
What is the length of the hypotenuse?
cm
Question 7:
What is the length of the hypotenuse?
m
Question 8:
What is the length of the hypotenuse?
cm
Question 9:
What is the length of the hypotenuse?
in
Question 10:
What is the length of the hypotenuse?
ft
Lesson Topic: Use Pythagorean theorem to calculate the missing leg
Question 1:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 7, b = 11, c =
Question 2:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 6, b = 3, c =
Question 3:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 12, b = 12, c =
Question 4:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 3, b = 4, c =
Question 5:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a=
, b = 5, c = 12
Question 6:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 12, b = 11, c =
Question 7:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 6, b = 8, c =
Question 8:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a=
, b = 7, c = 10
Question 9:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 9, b = 8, c =
Question 10:
Using the Pythagorean Theorem find the missing length and then round the result to the nearest tenth.
a = 7, b = 4, c =
Lesson Topic: Apply the converse of Pythagorean Theorem
Question 1:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Question 2:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Question 3:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Question 4:
A triangle has a side a of length 13, a side b of length 24, and a side c of length 28. Does the angle
between sides a and b equal 90°?
The angle between sides a and b = 90°.
The angle between sides a and b ≠ 90°.
Question 5:
The Converse of the Pythagorean Theorem states that:
If a2 + b2 = c2 for the sides of a triangle, the triangle has a right (90°) angle.
If a2 + b2 ≠ c2 for the sides of a triangle, the triangle has a right (90°) angle.
If a2 + b2 = c2 for the sides of a triangle, the triangle does not have a right (90°) angle.
Question 6:
A triangle has a side a of length 1, a side b of length 2, and a side c of length 3. Does the angle between
sides a and b equal 90°?
The angle between sides a and b = 90°.
The angle between sides a and b ≠ 90°.
Question 7:
A triangle has a side a of length 14, a side b of length 48, and a side c of length 50. Does the angle
between sides a and b equal 90°?
The angle between sides a and b = 90°.
The angle between sides a and b ≠ 90°.
Question 8:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Question 9:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Question 10:
Using the information provided above, determine whether the measure of angle x is equal to 90° or not.
(Note: Diagram is not to scale).
Ðx = 90°
Ðx ≠ 90°
Lesson Topic: Use Pythagorean theorem to find distance between two points
Question 1:
Use the Pythagorean Equation to find the distance between points x and y.
Question 2:
Use the Pythagorean Equation to find the distance between points x and y.
Question 3:
Use the Pythagorean Equation to find the distance between points x and y.
Question 4:
Use the Pythagorean Equation to find the distance between points x and y.
Question 5:
Use the Pythagorean Equation to find the distance between points x and y.
Question 6:
Use the Pythagorean Equation to find the distance between points x and y.
Question 7:
Use the Pythagorean Equation to find the distance between points x and y.
Question 8:
Use the Pythagorean Equation to find the distance between points x and y.
Question 9:
Use the Pythagorean Equation to find the distance between points x and y.
12
10
8
9
11
Question 10:
Use the Pythagorean Equation to find the distance between points x and y.
Lesson Topic: Single step real word applications of the Pythagorean Theorem
Question 1:
Ted needs to paint a window frame that is 25 feet above the ground. Since there are flowers around his
house, the ladder must be 10 feet away from the house. How long does his ladder need to be to reach
the window?
Question 2:
A contractor finds the perimeter of a park using the right triangle formed by the three surrounding
buildings. He knows the length of the department store building to be 610 ft and the length of the bank
to be 140 ft. Find the third measurement of the park.
Question 3:
The captain of a boat sees a lighthouse 210 ft tall. Using an instrument, the captain finds that the front of
the boat to the top of the lighthouse is 350 ft. What is the distance from the front of the boat to the
lighthouse?
Question 4:
A contractor finds the perimeter of a park using the right triangle formed by the three surrounding
buildings. He knows the length of the apartment building to be 500 ft and the length of the cafe to be
100 ft. Find the third measurement of the park.
Question 5:
A tent with sides of 3 ft has a rope of 5 ft going from the tent to the tent post. How far away are the posts
placed in the ground?
Question 6:
A contractor finds the perimeter of a park using the right triangle formed by the three surrounding
buildings. He knows the length of the cafe building to be 110 ft and the length of the smoothies building
to be 400 ft. Find the third measurement of the park.
Question 7:
Dwayne needs to know the length of the roof to begin repairing the shingles. He knows that the height of
the house is 20 feet and half of the length of the front of the house is 13 feet. Use these measurements
to find the length of the roof.
Question 8:
Toby is installing windows in a house. If the diagonal of the pane of glass measures 65 in and the base
is 36 in, how tall is the window?
Question 9:
If an apple picker has a tree that is 20 ft tall and needs the ladder to be placed 15 ft from the base of the
tree, how long should the ladder be?
Question 10:
Mr. Johnson wants to hang lights diagonally along his roof. He knows his roof has a length of 22 ft and a
width of 20 ft. How long do the lights need to be to stretch the entire diagonal of Mr. Johnson's roof?
Lesson Topic: Multiple step real word applications of the Pythagorean Theorem
Question 1:
What is the length of line segment WZ?
Question 2:
What is the length of line segment WZ?
Question 3:
What is the length of line segment WZ?
Question 4:
What is the length of line segment WZ?
Question 5:
A woodworker is creating a side for a bench. If the diagonal of the seat is 9 ft, the length of the seat is 8
ft, and the height of the bench's back is 3 ft, how long is the diagonal part of the new side?
Question 6:
What is the length of line segment WZ?
Question 7:
What is the length of line segment WZ?
Question 8:
What is the length of line segment WZ?
Question 9:
A baseball field is being designed. There is 60 ft between the pitcher and 3rd baseman and 90 ft
between the catcher and 3rd baseman. The half-way distance from the catcher to the 3rd baseman is 45
ft. How far is the distance between the pitcher and the catcher?
Question 10:
What is the length of line segment WZ?
Correct Answers
Lesson: Pythagorean Theorem
Lesson Topic: Use Pythagorean theorem to calculate the hypotenuse
Question 1:
10
Question 2:
13
Question 3:
29
Question 4:
41
Question 5:
6.4
Question 6:
34
Question 7:
13
Question 8:
25
Question 9:
58
Question 10:
5
Lesson Topic: Use Pythagorean theorem to calculate the missing leg
Question 1:
13.0
Question 2:
6.7
Question 3:
17.0
Question 4:
5.0
Question 5:
10.9
Question 6:
16.3
Question 7:
10.0
Question 8:
7.1
Question 9:
12.0
Question 10:
8.1
Lesson Topic: Apply the converse of Pythagorean Theorem
Question 1:
MC2
Question 2:
MC1
Question 3:
MC2
Question 4:
MC2
Question 5:
MC1
Question 6:
MC2
Question 7:
MC1
Question 8:
MC2
Question 9:
MC2
Question 10:
MC1
Lesson Topic: Use Pythagorean theorem to find distance between two points
Question 1:
MC5
Question 2:
MC1
Question 3:
MC2
Question 4:
MC4
Question 5:
MC4
Question 6:
MC1
Question 7:
MC5
Question 8:
MC4
Question 9:
MC2
Question 10:
MC4
Lesson Topic: Single step real word applications of the Pythagorean Theorem
Question 1:
MC2
Question 2:
MC4
Question 3:
MC4
Question 4:
MC4
Question 5:
MC4
Question 6:
MC2
Question 7:
MC2
Question 8:
MC5
Question 9:
MC5
Question 10:
MC4
Lesson Topic: Multiple step real word applications of the Pythagorean Theorem
Question 1:
MC4
Question 2:
MC2
Question 3:
MC4
Question 4:
MC5
Question 5:
MC5
Question 6:
MC5
Question 7:
MC5
Question 8:
MC3
Question 9:
MC1
Question 10:
MC1