Pythagorean Theorem Test Review

Pythagorean Theorem Test Review

Module 11

Fill in the Blanks

​Some text here about the topic of discussion.

a² + b² = c²

61² + b² = 70²

3721 + b² = 4900

b² = 1179

√​b² = √1179

b = 34.33656943

b ≈​ 34.3

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So the length is about 34.3 inches long.​

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Fill in the Blanks

​Some text here about the topic of discussion.

a² + b² = c²

12² + 5² = c²

144 + 25 = c²

169 = c²

√​169 = √c²

13 = c

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So the ladder is exactly 13 feet long.​

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​b2 = 1179

​√​

​√​

Fill in the Blanks

They are on the same line, so count from one point to the next, they are 8 units apart.

10 - 2 = 8​

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​Some text here about the topic of discussion.

Fill in the Blanks

They are diagonal, so you need to draw out a RIGHT triangle.

a² + b² = c²

8² + 5² = c²

64 + 25 = c²

89 = c²

√89 = √c²

9.43398 = c

9.4 ​= c

They are about 9.4 units apart.​

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​Some text here about the topic of discussion.

Fill in the Blanks

They are on the same line vertically, so count from point to point, they are 5 units apart.

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9 - 4 = 5​

​Some text here about the topic of discussion.

Multiple Choice

Identify if the triangle with the given side lengths is a right triangle or not. Explain how you determined your answer.

• Yes, The sum of the squares of the two shorter sides equal the square of the longest side.

• No, The sum of the squares of the two shorter sides do not equal the square of the longest side.

• Yes, The sum of the two shorter sides equal the longest side.

• No, The sum of the two shorter sides do not equal the longest side.

• Not enough information is given.

It IS a Right Triangle!

Multiple Choice

Identify if the triangle with the given side lengths is a right triangle or not. Explain how you determined your answer.

• Yes, The sum of the squares of the two shorter sides equal the square of the longest side.

• No, The sum of the squares of the two shorter sides do not equal the square of the longest side.

• Yes, The sum of the two shorter sides equal the longest side.

• No, The sum of the two shorter sides do not equal the longest side.

• Not enough information is given.

It is NOT a Right Triangle!

Fill in the Blanks

Since this is a 3D model, you have to square THREE legs!

21² + 20² + 15² = d²

441 + 400 + 225 = d²

1066 = d²

√1066 = √d²

32.6 = d

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​Some text here about the topic of discussion.

Multiple Choice

Describe how this image represents the Pythagorean Theorem.

• When you square the sides of a right triangle, all the measures should be the same.

• When the two shorter sides of a right triangle are added together, they should equal the longer side.

• When the two shorter sides of a right triangle are squared, their sum should equal the hypotenuse when squared.

• When three squares are lined up by touching corners, it will always make a right triangle.

​Some text here about the topic of discussion.

​When the two shorter sides of a right triangle are squared, their sum should equal the hypotenuse when squared.

16² + 12² = 20²

400 = 400​

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