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4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA
RIGHT TRIANGLES Two sides that form the right angle are called the LEGS The side opposite the right angle is called the HYPOTENUSE
PYTHAGOREAN THEOREM In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
EXAMPLE 1 Find the length of the missing side.
YOU TRY IT…
PYTHAGOREAN TRIPLES Examples: 3,4,5 8,15,17 5,12,13
DISTANCE FORMULA The Pythagorean Theorem can be used to develop the distance formula, which gives the distance between any 2 points on the coordinate plane
YOU TRY IT…
HOMEWORK Text p. 196 #s all Text p. 197 #s all
HAND IN BEFORE YOU LEAVE…Text p. 196 # 26
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Created by G. Antidormi 2003 The Pythagorean Theorem.
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Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’
Pythagorean Theorem By: Tytionna Williams.
8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
Algebra 12.5 The Pythagorean Theorem. Radical Review Simplify each expression. You try! = 5 = 8/3 = 28 = 9/5.
+ Warm Up B. + Homework page 4 in packet + #10 1. Given 2. Theorem Given 4. Corresponding angles are congruent 5. Reflexive 6. AA Similarity 7.
11-3: The Pythagorean Theorem Pg.546. Objective & Vocabulary 1.Find the length of a side of a right triangle. Hypotenuse (pg.546): in a right triangle,
Objective The student will be able to:
THE PYTHAGOREAN THEOROM Pythagorean Theorem What is it and how does it work? a 2 + b 2 = c 2 What is it and how does it work? a 2 + b 2 = c 2.
College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.
Pythagorean Theorem Unit 7 Part 1. The Pythagorean Theorem The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
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