Pythagorean Theorem Review

Pythagorean Theorem Review

Some text here about the topic of discussion

Open Ended

What do you remember about the pythagorean theorem

Multiple Choice

Pythagorean Theorem only works on one type of triangle. What kind of triangle does it have to be?

• Acute

• Right

• Obtuse

Hypotenuse- the longest side of a right triangle. This side is always "c"

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Legs- the two sides that create the right angle. "a" and "b"​

Sides of a Triangle

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Multiple Choice

Which side is the hypotenuse?

• this side

• that side

• this other side

This equation can help us find the missing side of a right triangle.

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We can also use it to determine if a triangle is a right triangle or not since it only works for right triangles. ​

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Multiple Choice

Which equation below is a correct interpretation of the Pythagorean Theorem for the right triangle pictured on the left? Remember, the hypotenuse is always the longest side of a right triangle.

• $$x^2+y^2=z^2$$  

• $$y^2+x^2=z^2$$  

• $$x^2+z^2=y^2$$  

• $$y^2+z^2=x^2$$  

Multiple Choice

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

• $$8^2+x^2=4^2$$  

• $$4^2+8^2=x^2$$  

• $$x^2+8^2=4^2$$  

• $$x^2+4^2=8^2$$  

Multiple Choice

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

• $$12^2+16^2=x^2$$  

• $$12^2+x^2=16^2$$  

• $$16^2+x^2=12^2$$  

• $$x^2+12^2=16^2$$  

​ 1. Write your equation

2. Square your numbers

3. Combine like terms

4. Take the Square Root​

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Solving for the hypotenuse

1. Write the equation

2. Square your numbers

3. Subtract to get variable alone

4. Take the square root​

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Solving for a leg

Multiple Choice

Which equation would you use to solve for x?

• $$6^2+x^2=8^2$$  

• $$6^2+8^2=x^2$$  

• $$x^2+8^2=6^2$$  

Fill in the Blank

Use the pythagorean theorem to find the missing side length.

Multiple Choice

Which equation would you use to solve for x?

• $$13^2+x^2=5^2$$  

• $$5^2+13^2=x^2$$  

• $$x^2+5^2=13^2$$  

Fill in the Blank

Use the Pythagorean Theorem to solve for x.

Because we have to end each problem by taking the square root of a number, the answers are not always whole numbers. If the question asks for an exact answer, leave it as a radical. If it asks for a rounded, be sure to round to whatever place it asks for.

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Exact vs Rounded

​​Rounded Answer

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​​Exact Answer

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Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.

Multiple Choice

Find side "h" (wall height)

• 35.60

• 35.00

• 35.71

• 61.03

Multiple Choice

^{Find the length of the missing side}

• 48

• 108

• 83.6

• 72