Mastering the Pythagorean Theorem

Which of the following is a right triangle? - A) A triangle with sides 3 cm, 4 cm, and 5 cm - B) A triangle with sides 5 cm, 5 cm, and 5 cm - C) A triangle with sides 6 cm, 8 cm, and 9 cm - D) A triangle with sides 7 cm, 24 cm, and 25 cm

• A) A triangle with sides 3 cm, 4 cm, and 5 cm

• B) A triangle with sides 5 cm, 5 cm, and 5 cm

• C) A triangle with sides 6 cm, 8 cm, and 9 cm

• D) A triangle with sides 7 cm, 24 cm, and 25 cm

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the length of the hypotenuse in a right triangle if one leg is 8 cm and the other is 6 cm?

• A) 10 cm

• B) 14 cm

• C) 7 cm

• D) 12 cm

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CCSS.HSG.SRT.C.8

A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 9 feet. If the ladder is 15 feet long, how high up the wall does the ladder reach?

• A) 12 feet

• B) 8 feet

• C) 6 feet

• D) 10 feet

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CCSS.HSG.SRT.C.8

Which of the following sets of numbers could be the lengths of the sides of a right triangle? - A) 9, 12, 15 - B) 8, 15, 17 - C) 5, 12, 13 - D) All of the above

• A) 9, 12, 15

• B) 8, 15, 17

• C) 5, 12, 13

• D) All of the above

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CCSS.HSG.SRT.C.8

• A) 24

• B) 18

• C) 20

• D) 22

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CCSS.HSG.SRT.C.8

Determine if a triangle with sides 10 cm, 24 cm, and 26 cm is a right triangle.

• A) Yes

• B) No

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• A) 5 cm

• B) 7 cm

• C) 9 cm

• D) 11 cm

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CCSS.HSG.SRT.C.8

A triangle has sides measuring 8 cm, 15 cm, and 17 cm. Which statement is true?

• A) It is not a right triangle.

• B) It is a right triangle, and the hypotenuse is 15 cm.

• C) It is a right triangle, and the hypotenuse is 17 cm.

• D) It cannot be determined if it is a right triangle.

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If a right triangle has a hypotenuse of 13 inches and one leg that measures 5 inches, what is the length of the other leg?

• A) 12 inches

• B) 10 inches

• C) 8 inches

• D) 14 inches

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CCSS.HSG.SRT.C.8

Which of the following scenarios is an example of using the Pythagorean Theorem in real life?

• A) Calculating the distance between two points on a map

• B) Measuring the height of a building using a shadow

• C) Finding the shortest path for a road between two towns

• D) All of the above

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CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8