Bell Ringer

Classify each angle as acute, obtuse, right, or straight.

#1. 30°#2. 86°#3. 90°#4. 145°

Supply Check

•You need to get out:▫A piece of paper▫A pencil▫A calculator▫A red pen (any color other than black)

•YOU MAY NOT BORROW FROM A NEIGHBOR

Homework Check

Homework Check

Homework Check

Homework Turn In

•The Homework Sheet should be on top.▫Directly behind the Homework Sheet

should be Wednesday’s.▫Directly behind Wednesday’s should be

Thursdays.

Section 10.4The Triangle Inequality TheoremThe Pythagorean Theorem

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The Triangle Inequality Theorem

Use the Triangle Inequality Theorem to Fill in the Last Column

Vocabulary

•Legs – The sides adjacent to the right angle

•Hypotenuse – The side opposite the right angle; the longest side of a right

triangle•Pythagorean Theorem – Describes the relationship between the lengths of

the legs and the hypotenuse for any right

triangle•Solving a Right Triangle- Using the Pythagorean Theorem to find the

length of the side of a triangle

Notes

Example 1Find the Hypotenuse Length

Example 2Find the Hypotenuse Length

Your Turn

Example 3

Example 4

A ladder positioned against a 10-foot building reaches its top. Its base is 3 feet from the building. About how long is the

ladder in feet? Round to the nearest tenth.

Your Turn

Example 5Solve a Right Triangle

Example 6Solve a Right Triangle

•A diagonal path through a rectangular garden is 32 feet long. The length of the garden is 24 feet. About how many feet wide is the garden?

Your Turn

•A 15-foot ladder is leaning against a house. The base of the ladder is 3.5 feet from the house. About how many feet does the ladder reach on the side of the house?

Notes•The Pythagorean Theorem is written in if-

then form. If you reverse the statements after if and then, you have formed the converse of the Pythagorean Theorem.

•Pythagorean Theorem:▫If a triangle is a right triangle then c2 =

a2 + b2

•Converse:▫If c2 = a2 + b2, then a triangle is a right

triangle.

Example 7Identify a Right Triangle

Example 8Identify a Right Triangle

Your Turn

•A. 8 in., 9 in., 12 in.

•B. 15mm, 20mm, 25mm

Class Work10.2 Ext. #5-7, 14-16

Class WorkSection 10.3 #1-19

Class WorkSection 10.3 #1-19

Class WorkSection 10.3 #1-19

Class WorkSection 10.3 #1-19