Pythagorean Theorem and Angle Relationships

Pythagorean Theorem & It's Converse

October 11th, 2021

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What side(s) will always be the longest on a right triangle?

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Select

What side(s) will always be the shortest on a right triangle?

Select all that apply

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Choice

The legs form what type of angle?

• Acute
• Obtuse
• Reflex
• Right

Multiple Choice

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

Multiple Choice

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes
• No

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

Multiple Choice

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes
• No

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes
• no

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes
• no

Multiple Choice

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

• yes 
• no

Multiple Choice

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

Dropdown

The ​

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of the ​

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created by the legs of a ​

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triangle are ​

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to the area of the ​ square created by the ​

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.