Understanding the Pythagorean Theorem

What is the formula of the Pythagorean Theorem?

• a^2 / b^2 = c^2

• a^2 + b^2 + c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

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CCSS.HSG.GPE.A.1

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

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

• The shortest leg

• The longest leg

• The hypotenuse

• Any side

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CCSS.HSG.SRT.C.8

What is the first step in using the Pythagorean Theorem to find a missing side?

• Square the hypotenuse

• Identify which sides are given

• Take the square root of the hypotenuse

• Add the squares of the legs

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CCSS.8.G.B.7

If a right triangle has legs of 8 meters and 6 meters, what is the length of the hypotenuse?

• 6 meters

• 10 meters

• 14 meters

• 8 meters

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CCSS.HSG.SRT.C.8

How do you isolate 'c' when using the Pythagorean Theorem?

• Subtract a^2 from both sides

• Add b^2 to both sides

• Multiply both sides by c

• Take the square root of both sides

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CCSS.HSA.CED.A.4

CCSS.HSG.SRT.C.8

For a right triangle with legs measuring 10 feet and 7 feet, approximately how long is the hypotenuse?

• 12.21 feet

• 7 feet

• 10 feet

• 17 feet

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CCSS.HSG.SRT.C.8

When finding the length of a missing leg in a right triangle, what is subtracted from c^2?

• The square root of c

• b^2

• The square root of a

• a^2

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If a right triangle's hypotenuse is 13 yards and one leg is 5 yards, what is the length of the missing leg?

• 6 yards

• 5 yards

• 13 yards

• 12 yards

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CCSS.HSG.SRT.C.8

For a right triangle with a hypotenuse of 9 meters and one leg of 4 meters, what is the approximate length of the missing leg?

• 4 meters

• 5 meters

• 8.06 meters

• 9 meters

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CCSS.HSG.SRT.C.8

What is the significance of rounding to the hundredths place when dealing with irrational numbers?

• It offers a more accurate approximation

• It is easier to remember

• It simplifies the equation

• It provides an exact value

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CCSS.HSN.Q.A.3