The Pythagorean Theorem

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Objective

I can use the Pythagorean theorem to find the missing side length of a right triangle.

Part 1 of 4

Warm-up video

Math with Mr. J · 7:36Vetted channel

We don't generate video — this one is by Math with Mr. J on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The Pythagorean theorem, represented as a² + b² = c², is used to find the missing side length of a right triangle, where 'c' is the hypotenuse and 'a' and 'b' are the legs.

  2. 2

    To find the length of a missing leg, you can plug in the known values into the Pythagorean theorem and isolate the variable representing the missing leg by using inverse operations such as subtraction and finding the square root.

  3. 3

    When the result of the square root is not a perfect square, you can express the answer as a square root or approximate it as a decimal rounded to a certain place value, like the hundredths place.

Part 3 of 4

Practice

11 questions

1

What formula is used to represent the Pythagorean Theorem?

2

In the Pythagorean Theorem, what does 'c' represent?

Part 4 of 4

Exit ticket

Quick comprehension check

A right triangle has a hypotenuse of 10 cm and one leg that measures 6 cm. What is the length of the missing leg? Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

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