Right Triangles and the Pythagorean Theorem

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Objective

I can determine if a triangle is a right triangle using the Pythagorean theorem.

Part 1 of 4

Warm-up video

Kayla Jones · 3:01

We don't generate video — this one is by Kayla Jones 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

    To determine if three side lengths form a right triangle, first label the side lengths a, b, and c, where c is the longest side.

  2. 2

    Next, plug the side lengths into the Pythagorean theorem, which is a² + b² = c².

  3. 3

    If both sides of the equation are equal after simplifying, then it is a right triangle; if they are not equal, then it is not a right triangle.

Part 3 of 4

Practice

11 questions

1

What is the first step in determining if three side lengths form a right triangle using the Pythagorean theorem?

2

According to the video, can the labels 'a' and 'b' be switched when labeling the sides of a triangle? Explain why or why not.

Part 4 of 4

Exit ticket

Quick comprehension check

The sides of a triangle are 7, 24, and 25. Determine if this is a right triangle, showing all steps.

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

  • Student Handout

    Printable worksheet

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