bell ringer classify each angle as acute, obtuse, right, or straight. #1. 30° #2. 86° #3. 90° #4....
TRANSCRIPT
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 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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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
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.
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.