Pythagorean Theorem

Pythagorean Theorem

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Open Ended

What does a, b, and c represent?

Open Ended

What does $$a^2$$ , $$b^2$$ , and $$c^2$$ represent?

Open Ended

What relationship is true for both right triangle illustrations?

Multiple Choice

Which of the following is true about the Pythagorean Theorem?

• Always true for all triangle

• Always true for all right triangles

• Never true for any triangle

• Sometimes true for right triangle

Multiple Choice

Which of the following equations is true for all right triangles where a and b are the length of the legs and c is the length of the hypotenuse?

• $$a^2=b^2+c^2$$

• $$\left(a-b\right)^2=c^2$$

• $$a^{2\ }+b^2=c^2$$

• $$a^2-b^2=c^2$$

Multiple Choice

What equation represents the relationship between the side lengths of the right triangle below?

• $$3+7=\sqrt[]{58}$$

• $$7^2+\left(\sqrt[]{58}\right)^2=3^2$$

• $$\left(\sqrt[]{58}\right)^2+3^2=7^2$$

• $$3^2+7^2=\left(\sqrt[]{58}\right)^2$$

Multiple Select

Which 3 triangle below will the Pythagorean Theorem be true for?

• A

• B

• C

• D

• E

Open Ended

Explain why the Pythagorean Theorem would not be true for the remaining triangles

Multiple Choice

Which statment about the squares is true?

• The sum of the areas of squares A and B is equal to the area of square C

• The sum of the areas of A and B is less than the area of square C

• The difference of areas of square A and B is equal to the area of square C

• The sum of the areas of squares B and C is equal to the area of square A

Multiple Choice

Find the length of the hypotenuse of the triangle

• 17

• 12

• 7

• 23

Multiple Select

Which answer choice could you immediately eliminate?

• 17

• 12

• 7

• 23