Pythagorean Theorem

Pythagorean Theorem

By Kevvin Hankins

SEL: RethinkEd My Emotional Brain

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Open Ended

How does your brain respond to emotional situations?

Multiple Choice

Which of these is written in correct scientific notation?

• 650,000,000

• $$650\ X\ 10^6$$  

• $$6.5\ X\ 10^8$$  

• 65 X $$10^8$$  

​Standard

MGSE8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Subject | Subject

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​Learning Targets

I can identify the Pythagorean Theorem.

I can substitute values for the correct variables in the Pythagorean Theorem from a given situation/context.​

Subject | Subject

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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

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The Pythagorean Theorem

Hypotenuse

• The longest side of a right triangle

• The side that is opposite (across) from the 90^o angle.

• When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.

Fill in the Blanks

How long is the hypotenuse of this triangle?

Leg (of a Triangle)

• The two shorter sides of a right triangle

• The sides that are adjacent to the 90^o angle.

• When using the Pythagorean Theorem, the Legs are represented by the variables, a & b.

Right Triangle

• A right triangle is a triangle with a right angle in it (an angle that is 90^o)

• A triangle can be shown to have a 90^o angle by using a box.

• A right triangle will ALWAYS satisfy the Pythagorean Theorem

• undefined 

Is it a Right Triangle?

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

• Yes

• No

Multiple Choice

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

• Yes

• No

Poll

How do you feel about today's lesson?

• I'm got this! I feel like an expert.

• I am still unsure about a few things but I understand.

• I'm still totally confused.