Pythagorean Theorem Test Review

Pythagorean Theorem Test Review

Module 11

Fill in the Blank

A 70 inch flat scree TV has a width of 61 inches. What is the height of the TV? Round to the nearest tenth.

​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 Blank

The length of the ladder to the building on the ground is 5 feet. The ladder rests against the building 12 feet above the ground. What is the length of the ladder in feet? Round to the nearest tenth.

​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 Blank

Determine the Distance between Jada and Inez. Round to the nearest tenth.

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 Blank

Determine the distance between Jada and Hal. Round to the nearest tenth.

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 Blank

Determine the distance between Hal and Inez. Round to the nearest tenth.

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 Blank

What is the length of the interior diagonal, d, rounded to the nearest tenth of a centimeter?

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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