Lesson: Pythagorean Theorem Lesson Topic: Use Pythagorean theorem to calculate the hypotenuse
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1 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
2 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
3 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 =
4 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
5 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
6 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 a 2 + b 2 = c 2 for the sides of a triangle, the triangle has a right (90 ) angle. If a 2 + b 2 c 2 for the sides of a triangle, the triangle has a right (90 ) angle. If a 2 + b 2 = c 2 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.
7 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
8 Question 1: Use the Pythagorean Equation to find the distance between points x and y.
9 Question 2: Use the Pythagorean Equation to find the distance between points x and y.
10 Question 3: Use the Pythagorean Equation to find the distance between points x and y.
11 Question 4: Use the Pythagorean Equation to find the distance between points x and y.
12 Question 5: Use the Pythagorean Equation to find the distance between points x and y.
13 Question 6: Use the Pythagorean Equation to find the distance between points x and y.
14 Question 7: Use the Pythagorean Equation to find the distance between points x and y.
15 Question 8: Use the Pythagorean Equation to find the distance between points x and y.
16 Question 9: Use the Pythagorean Equation to find the distance between points x and y
17 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
18 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.
19 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.
20 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.
21 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?
22 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?
23 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?
24 Question 3: What is the length of line segment WZ? Question 4: What is the length of line segment WZ?
25 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?
26 Question 7: What is the length of line segment WZ? Question 8: What is the length of line segment WZ?
27 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 3 rd baseman. The half-way distance from the catcher to the 3 rd baseman is 45 ft. How far is the distance between the pitcher and the catcher?
28 Question 10: What is the length of line segment WZ?
29 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
30 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:
31 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
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