Download presentation

Presentation is loading. Please wait.

Published byJase MacGregor Modified over 2 years ago

1
Warm Up Estimate the value of each to the nearest tenth. 1. √30 2. √14 3. √55 4. √48 5.4 or 5.5 3.7 or 3.8 7.4 or 7.5 6.9

2
**The Pythagorean Theorem**

Learn to use the Pythagorean Theorem and its converse to solve problems. Course 3

3
Vocabulary Pythagorean Theorem leg hypotenuse

4
**Pythagoras was born on the Aegean island of Samos**

Pythagoras was born on the Aegean island of Samos. He is best known for the Pythagorean Theorem, which relates the side lengths of a right triangle.

6
**Directions: Find the leg of the hypotenuse to the nearest tenth.**

7
**Example 1 a2 + b2 = c2 Pythagorean Theorem Substitute for a and b.**

Find the length of each leg first. a2 + b2 = c2 Pythagorean Theorem = c2 Substitute for a and b. = c2 Simplify powers. 225 = c Solve for c; c = c2. 15 = c

8
Example 2 c 4 5 a2 + b2 = c2 Pythagorean Theorem = c2 Substitute for a and b. = c2 Simplify powers. 41 = c2 41 = c Solve for c; c = c2. 6.4 c

9
**Example 3 Pythagorean Theorem a2 + b2 = c2 Substitute for a and b.**

5 7 c Pythagorean Theorem a2 + b2 = c2 Substitute for a and b. = c2 Simplify powers. = c2 Solve for c; c = c2. 74 = c 8.6 c

10
Example 4 a2 + b2 = c2 Pythagorean Theorem 25 b 72 + b2 = 252 Substitute for a and c. 49 + b2 = 625 Simplify powers. – –49 Subtract 49 from each side. b2 = 576 7 Find the positive square root b = 24

11
Example 5 a2 + b2 = c2 Pythagorean Theorem 12 b 42 + b2 = 122 Substitute for a and c. 16 + b2 = 144 Simplify powers. – –16 Subtract 16 from both sides. 4 b2 = 128 Find the positive square root. b 11.3

12
Directions: Determine whether or not the given numbers are possible measures for the sides of a right triangle.

13
Example 6 a = 3, b=4 and c = 5

14
Example 7

15
Lesson Summary Use the figure for Problems 1 and 2. 1. Find the height h of the triangle. 8 m 2. Find the length of side c to the nearest meter. 10 m c h 12 m 3. An escalator in a shopping mall is 40 ft long and 32 ft tall. What distance does the escalator carry shoppers? 6 m 9 m 2624 ≈ 51 ft

Similar presentations

OK

Lesson 9-5 Pages 460-464 The Pythagorean Theorem Lesson Check 9-4.

Lesson 9-5 Pages 460-464 The Pythagorean Theorem Lesson Check 9-4.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

A ppt on loch ness monster videos Ppt on prefilled syringes One act play ppt on ipad Ppt on fire extinguisher types 300 Ppt on functional components of computer system Download ppt on user interface Ppt on eco friendly agricultural practices Free ppt on geothermal energy Ppt on distrust of science Seminar ppt on mobile computing free download