Lesson 7.1: Understand the Pythagorean Theorem

Lesson 7.1

Understand the Pythagorean Theorem​

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​Definitions:

​Hypotenuse: The hypotenuse is the longest leg on a right triangle. It will always be across from the right angle. In the Pythagorean Theorem, it is labeled with the variable “c”.

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Leg: The “legs” on a right triangle are the non hypotenuse sides. They will always be to the right and left of the right angle. They are labeled with the letters “a” or "b"

Subject | Subject

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​Pythagorean Theorem:

The Pythagorean Theorem is used to find the length of any side on a right triangle. It is as follows:

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a² + b² = c²​

​What is the hypotenuse of a triangle with legs 3 and 4?

Multiple Choice

What is the hypotenuse of a right triangle with legs 5 and 12?

• 12

• 169

• 13

• 17

Multiple Choice

What is the missing side of the right triangle?

• 25

• 7

• 5

• 1

​What if we know the hypotenuse but not one of the sides?

​Find the missing leg on a right triangle with hypotenuse 17 and leg 5.

Multiple Choice

What is the missing side measurement?

• 1

• 17.7

• 5

• 25

​What is the hypotenuse of a right triangle with legs 7x + 6 and 5x when x = 12?

​Conclusion: Write two complete sentences about what you learned.