3.6 Pythagorean Theorem Warm-up (IN) 1.Find the area of a square whose sides are 10 units long. 2. The square of what number is 2704? 3. Evaluate each.

Slides:



Advertisements
Similar presentations
The Pythagorean Theorem leg hypotenuse leg Applies to Right Triangles only! The side opposite the right angle The sides creating the right angle are called.
Advertisements

7.2 Converse of Pythagorean Theorem
7.4 Areas of Triangles and Quadrilaterals
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
1 9.1 and 9.2 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.
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.
CHAPTER 8 RIGHT TRIANGLES
8.1 Pythagorean Theorem and Its Converse
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Geometry 9.3 Converse of the Pythagorean Theorem.
Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse
Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.
8.1 The Pythagorean Theorem and Its Converse. Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs is equal to the.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Objective: To use the Pythagorean Theorem and its converse.
Pythagorean Theorem And Its Converse
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.
+ 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.
7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.
9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.
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.
Geometry Section 9.3 Pythagorean Theorem Converse.
Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.
The Pythagorean Theorem
Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.
7.1 – Apply the Pythagorean Theorem. In your group, do the following: 1. Find the area of one of the four right triangles baba abab b a c.
Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.
Converse of Pythagorean Theorem
Pythagorean Theorem Theorem 8-1: Pythagorean Theorem – In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of.
The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.
3/11-3/ The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.
Section 8-3 The Converse of the Pythagorean Theorem.
Altitude-on-hypotenuse. Find the value of x x 4√3 10 x = 4√3 4√3 x + 10 x x = 163 x x – 48 = 0 (x – 4)(x + 12) = 0 x = 4 x = -12.
Converse to the Pythagorean Theorem
Sec. 8-1 The Pythagorean Theorem and its Converse.
A b c. P ROVING THE P YTHAGOREAN T HEOREM THEOREM THEOREM 8-1 Pythagorean Theorem c 2 = a 2 + b 2 b a c In a right triangle, the square of the length.
Lesson 5-7 Use the Pythagorean Thm 1 Identify the Pythagorean triples 2 Use the Pythagorean inequalities to classify ∆s 3.
Converse of the Pythagorean Theorem
Introduction to Chapter 4: Pythagorean Theorem and Its Converse
Warm Up Simplify the square roots
8.1 Pythagorean Theorem and Its Converse
Pythagorean Theorem and it’s Converse
Pythagorean theorem.
9.3 Converse of a Pythagorean Theorem
Rules of Pythagoras All Triangles:
7-2 The Pythagorean Theorem
7.2 Use the Converse of the Pythagorean Theorem
The Converse of the Pythagorean Theorem
The Converse of the Pythagorean Theorem
LT 5.7: Apply Pythagorean Theorem and its Converse
4.5 The Converse of the Pythagorean Theorem
Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.
Bellringer Simplify each expression 5 ∙ ∙ 8.
Pythagorean Theorem and Its Converse
[non right-angled triangles]
Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.
The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.
8-2 The Pythagorean Theorem and Its Converse
8.1 Pythagorean Theorem and Its Converse
Theorems Relating to the Pythagorean Theorem
5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA
7-1 and 7-2: Apply the Pythagorean Theorem
8.1 Pythagorean Theorem and Its Converse
Objective: To use the Pythagorean Theorem and its converse.
Warm Up:.
The Pythagorean Theorem
10-1 The Pythagorean Theorem
Converse to the Pythagorean Theorem
7-2 PYTHAGOREAN THEOREM AND ITS CONVERSE
Presentation transcript:

3.6 Pythagorean Theorem Warm-up (IN) 1.Find the area of a square whose sides are 10 units long. 2. The square of what number is 2704? 3. Evaluate each expression: Learning Objective: to find the lengths of the sides of a right triangle, and to decide if a triangle is right, obtuse, or acute. 100 square units

Notes Pythagorean Thm - In a right, the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse. Learning Objective: to find the lengths of the sides of a right triangle, and to decide if a triangle is right, obtuse, or acute. a b c Ex 1 – Find the missing side of the triangle a. a=12, b=16b. b=, c=13 Exploration p. 148

Ex 2 – Simplify Already simplified Converse of the Pythagorean Thm - CKC p. 150 Learning Objective: to find the lengths of the sides of a right triangle, and to decide if a triangle is right, obtuse, or acute.

HW – p. 144 #1-23 odd p. 150 #1-8 Out – how can you classify a triangle based on the side lengths? Summary – Today, I understand… POW!!