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?

Fill in the Blanks

In a right triangle, the side across the from the right angle is called the

Fill in the Blanks

The sides that meet to form the right angle in a right triangle are called

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The Pythagorean Theorem states that for all

triangles, the sum of the squares of the legs, equals the square of the hypotenuse.

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