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

Examples: Put each number in simplest radical form    

Turn to page 223 in the workbook 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.

Example 2: Using the Pythagorean Theorem Find the value of x. Leave answer in simplest radical form. 6

Example 3: Dimensions Seamus 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.

Example 4: Dimensions Shane wants to buy a new TV. He was looking at a 65in TV that had an aspect ratio of 4:3. His entertainment center has a 4.5ft by 4ft rectangular space for a TV. Will a 65in TV fit in that space?

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

Example 5: Identifying Pythagorean Triples Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.

5-7 Classwork Workbook pg 226 ALL Workbook pg 225 #11 – 12 Don’t rip this out of your workbook. Page 225 is the secondary assignment and I don’t want you to lose it!

Honors: 5-7 Assignment Primary Assignment: join.quizizz.com Codes: Period 1: 010996 (Due Tuesday) Period 5: 997795 (Due Tuesday) Period 6: 619284 (Due Wednesday) 5-7 Secondary Assignment: Workbook pg 225 #1 – 10

Standard: 5-7 Assignment Primary Assignment: join.quizizz.com Codes: Period 2: 545023 (Due Wednesday) Period 4: 216688 (Due Wednesday) Period 7: 141629 (Due Tuesday) 5-7 Secondary Assignment: Workbook pg 225 #1 – 10