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The Pythagorean Theorem

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Bell Work

Objectives Rigor: Use Pythagorean to solve real world applications; write answers in simplest radical form Relevance: calculate lengths and distances of triangular objects and paths.

Notes: Simplest Radical Form Complete a couple of examples on the worksheet together, the rest will be an assignment

Turn to page 223 in the core book and complete examples 1 & 2. Put answers in simplest radical form before rounding!

Pythagorean Theorem Algebraic Proof

Example 1: Using the Pythagorean Theorem Find the value of x. Give your answer in simplest radical form.

Example 2: Crafts Application Randy is building a rectangular picture frame. He wants the ratio of the length to the width to be 3:1 and the diagonal to be 12 centimeters. How wide should the frame be? Round to the nearest tenth of a centimeter.

A set of three nonzero whole numbers a, b, and c such that a2 + b2 = c2 is called a Pythagorean triple.

Example 3: Identifying Pythagorean Triples Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.

5-7 Assignments (separate grades) Simplifying radicals worksheet Both sides Must show factoring work to get credit Core book pgs 225 – 226 Pg 225 #1 – 4, 7, 8 Pg 226 ALL Both assignments will be collected on Thurs (per 1, 3, 5) & Fri (per 2, 4, 7)