Use the Pythagorean Theorem and Their Converse

Pythagorean Theorem Converse

Multiple Choice

What is the formula for Pythagorean theorem?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Multiple Choice

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

Multiple Choice

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

• 9
• 40
• 41

Multiple Choice

What are the 2 shorter sides of a right triangle called?

• Hypotenuse
• Pythagorean Theorem
• Legs
• Right triangle

This is the converse of the Pythagorean Theorem ​

a and b are always the two shortest sides (legs)

c is always the longest side (hypotenuse)

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If the equation is true then the sides form a right triangle.

If the equation is not true, then the sides do not form a right triangle.

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​A triangle has sides 27 m, 96 m and 100 m. Is this a right triangle?

​

Plug in 27, 96 and 100. Use the smaller numbers for a and b and the largest number for c.

27² +​ 96²=100²

9945 = 10,000

FALSE

This is NOT a right triangle​

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Multiple Choice

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

• yes
• no

Multiple Choice

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

• yes 
• no

Multiple Choice

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?

• yes
• no

Multiple Choice

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

• Yes
• No

Multiple Choice

Is this triangle a right triangle?

• yes
• no