Understanding the Pythagorean Theorem

What is the formula used in the Pythagorean Theorem?

• a^2 + b^2 = c^2

• a^2 + b^2 = 2c

• a^2 - b^2 = c^2

• 2a + 2b = c

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.B.4

In the Pythagorean Theorem, which side is represented as 'c'?

• The base

• The shortest side

• The longest side

• One of the legs

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

What are the lengths of the legs in the first example?

• 9 meters and 4 meters

• 8 meters and 6 meters

• 5 meters and 12 meters

• 10 meters and 7 meters

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.D.11

Is it necessary for 'a' and 'b' to be assigned specifically to the legs of the triangle?

• No, either leg can be 'a' or 'b'

• Yes, 'a' must be the longer leg

• Yes, 'b' must be the shorter leg

• Yes, 'a' and 'b' are assigned based on their position

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CCSS.HSG.SRT.C.8

What is the length of the hypotenuse in the first example?

• 8 meters

• 12 meters

• 14 meters

• 10 meters

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CCSS.HSG.SRT.C.8

Which operation is used to solve for 'c' in the Pythagorean Theorem?

• Multiplication

• Square root

• Division

• Subtraction

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CCSS.HSG.SRT.C.8

What are the lengths of the legs in the second example?

• 8 feet and 6 feet

• 11 feet and 7 feet

• 12 feet and 9 feet

• 10 feet and 7 feet

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

What is the approximate length of the hypotenuse in the second example?

• 12.21 feet

• 14.56 feet

• 11.07 feet

• 13.42 feet

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CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

What is the nature of the square root of 149 in the second example?

• Irrational number

• Rational number

• Integer

• Perfect square

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.B.3

How is the result of the square root of 149 rounded in the second example?

• To the nearest whole number

• To two decimal places

• Not rounded

• To three decimal places