10-5 Pythagorean Theorem

Pythagorean Theorem

How to solve for missing sides of right triangles.

Learning Target:

I can solve for missing sides of right triangles using the Pythagorean Theorem.

The following are review questions.

Math Response

Solve $$x^2=121$$

Type answer here

Correct Answer: 11

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Rad

Math Response

Solve $$x^2=64$$

Type answer here

Correct Answer: 8

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Pythagorean Theorem

Formula: a² + b² = c²

• "a" and "b" are legs

• "c" is the hypotenuse (always opposite of the right angle)

Labelling

Label the parts of the triangle.

Drag labels to their correct position on the image

Right angle

Hypotenuse c

Leg b

Leg a

Multiple Choice

What is the formula for the Pythagorean Theorem?

• a + b = c

• 2a + 2b = 2c

• $$a^2\ +\ b^2\ =\ c^2$$  

• $$a^2\ -\ b^2\ =\ c$$  

Multiple Choice

The Pythagorean Theorem only works for what kind of triangle.

• obtuse

• acute

• right

• scalene

Multiple Choice

Name the longest side of a right triangle.

• leg a

• leg b

• leg 

• hypotenuse

Multiple Choice

Which statement is true:

• The length of the hypotenuse is 5

• The length of the hypotenuse is 12

• The length of the hypotenuse is 13

• The length of the hypotenuse is 17

Math Response

A ladder is leaning against a house.

What is the length of the ladder?

Type answer here

Correct Answer: 13

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Math Response

Gravel used for construction purposes is piled in the approximate shape of a cone.

What is the approximate radius of the cone?

Type answer here

Correct Answer: 15

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Math Response

A plane takes off from an airport and travels 13 miles on its path. If the plane is 11 miles from its takeoff point horizontally, what is the height? Round to the nearest tenth if necessary.

Type answer here

Correct Answer: 6.9

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Math Response

A 12-foot flagpole is placed in the center of a square area. To stabilize the pole, a wire will stretch from the top of the pole to each corner of the square. The flagpole is 7 feet from each

corner of the square.

What is the length of each wire? Round to the nearest tenth.

Type answer here

Correct Answer: 13.9

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Math Response

Determine the length of the missing side.

Type answer here

Correct Answer: 17

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Drag and Drop

Which equation can be used to solve for "x"?

​

Placeholder

Drag these tiles and drop them in the correct blank above

Math Response

^{Find the missing side}

Type answer here

Correct Answer: 3

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Math Response

Use $$c^2=a^2+b^2$$ , to find the value of x. to the nearest whole number.

Type answer here

Correct Answer: 13

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Math Response

_{^{Find the missing side}}

Type answer here

Correct Answer: 36

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Math Response

Leslie and Cindy went to swim at the town swimming pool. If Leslie wanted to swim diagonally from one corner of the pool to the other, what is the distance she will have to swim?

Type answer here

Correct Answer: 50

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Rad

End of lesson.