Bell Ringer Classify each angle as acute, obtuse, right, or straight. #1. 30° #2. 86° #3. 90° #4. 145°

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Presentation transcript:

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: YOU MAY NOT BORROW FROM A NEIGHBOR 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 10.4 The Triangle Inequality Theorem The Pythagorean Theorem R drive > Key > Week 11 > Friday > PowerPoint 10.4 File > Save As > P drive > Math > Week 11 > PowerPoint 10.4

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 1 Find the Hypotenuse Length

Example 2 Find 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 5 Solve a Right Triangle

Example 6 Solve 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 7 Identify a Right Triangle

Example 8 Identify a Right Triangle

Your Turn A. 8 in., 9 in., 12 in. B. 15mm, 20mm, 25mm

Class Work 10.2 Ext. #5-7, 14-16

Class Work Section 10.3 #1-19

Class Work Section 10.3 #1-19

Class Work Section 10.3 #1-19

Class Work Section 10.3 #1-19