# Lesson 10

Applications of the Pythagorean Theorem

### Lesson Narrative

In this lesson students use the Pythagorean Theorem and its converse as a tool to solve application problems. In the first activity, they solve a problem involving the distance and speed of two children walking and riding a bike along different sides of a triangular region. In the second activity they find internal diagonals of rectangular prisms.

### Learning Goals

Teacher Facing

• Describe (orally) situations that use right triangles, and explain how the Pythagorean Theorem could help solve problems in those situations.
• Use the Pythagorean Theorem to solve problems within a context, and explain (orally) how to organize the reasoning.

### Student Facing

Let’s explore some applications of the Pythagorean Theorem.

### Student Facing

• I can use the Pythagorean Theorem to solve problems.

Addressing

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