Five-Minute Check (over Lesson 12–1)

Main Idea and Vocabulary

Key Concept: Pythagorean Theorem

Example 1:Find the Length of the Hypotenuse

Example 2:Real-World Example

Example 3:Find the Length of a Leg

Example 4:Test Example

• leg

• hypotenuse

• Pythagorean Theorem

• Find length using the Pythagorean Theorem.

BrainPOP: The Pythagorean Theorem

Find the Length of the Hypotenuse

Find the length of the hypotenuse of the triangle.

Find the Length of the Hypotenuse

Answer: The length of the hypotenuse is about 6.3 mm.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 3.5 cm

B. 4.9 cm

C. 7.4 cm

D. 8.6 cm

Find the length of the hypotenuse for a right triangle that has legs measuring 5 centimeters and 7 centimeters.

SPORTS A gymnastics tumbling floor is in the shape of a square with sides 12 meters long. If a gymnast flips from one corner to the opposite corner, about how far has he flipped?

Answer: The gymnast will have flipped about 17 meters.

Evaluate 122.

Definition of square root

1. A

2. B

3. C

4. D

0% 0%0%0%

A. about 42.6 in

B. about 51.3 in

C. about 57.8 in

D. about 64.5 in

SEWING Rose has a rectangular piece of fabric measuring 28 inches in length and 16 inches in width. She wants to decorate the fabric with a piece of lace sewn across both diagonals. How much lace will Rose need to complete the project?

Find the Length of a Leg

Find the missing measure of the triangle below.

Find the Length of a Leg

Answer: The length of the leg is 12 centimeters.

Definition of square root

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 13 in.

B. 15.1 in.

C. 18.7 in.

D. 21.3 in.

Find the missing measure of the triangle shown. Round to the nearest tenth if necessary.

Televisions are measured according to their diagonal measure. If the diagonal of a television is 36 inches, and its height is 21.6 inches, what is its width?

Read the ItemThe diagonal of the television is the hypotenuse of a right triangle. Write an equation and solve for b.

A 42.0 in. B 28.8 in. C 14.4 in. D 57.6 in.

Solve the Item

Replace a with 21.6 and c with 36.

Definition of square root

Answer: The width of the television is 28.8 inches. So, the answer is B.

1. A

2. B

3. C

4. D0% 0%0%0%

A. about 43.6 ft

B. about 52.0 ft

C. about 61.9 ft

D. about 65.7 ft

SWIMMING The diagonal of a rectangular swimming pool measures 60 feet. Find the length of the pool if the width measures 30 feet. Round to the nearest tenth if necessary.

End of the Lesson

Five-Minute Check (over Lesson 12–1)

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Math Tools

The Pythagorean Theorem

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

A. 14

B. 13

C. 12

D. 11

Estimate to the nearest whole number.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

A. 13

B. 14

C. 15

D. 16

Estimate to the nearest whole number.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

A. 6

B. 7

C. 8

D. 9

Estimate to the nearest whole number.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

A. 4.3

B. 4.1

C. 3.8

D. 1.4

Use a calculator to find to the nearest tenth.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

A. 8.7

B. 8.9

C. 9.1

D. 9.3

Use a calculator to find to the nearest tenth.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 12-1)

Identify the number with the greatest value.

A. (–2)2

B.

C.

D. 3.14