4.7 – Square Roots and The Pythagorean Theorem Day 2.

Slides:

Advertisements

Similar presentations

EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.

Advertisements

EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.

The Pythagorean Theorem

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.

EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.

EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

Bell Ringer Get out your 10.5/10.7 homework assignment and formula sheet Get out your notebook and prepare to take notes on Section 11.2 What do you know.

1 9.1 and 9.2 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.

10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg.

Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.

Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.

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.

Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.

Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula

9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.

4.7 – Square Roots and The Pythagorean Theorem. SQUARES and SQUARE ROOTS: Consider the area of a 3'x3' square: A = 3 x 3 A = (3) 2 = 9.

Objective The student will be able to:

Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n.

Triangles and Lines – Special Right Triangles There are two special right triangles : 30 – 60 – 90 degree right triangle 45 – 45 – 90 degree right triangle.

College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle Oblique triangle is a triangle that contains no right angle.

Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.

Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.

11.4 Pythagorean Theorem Definitions Pythagorean Theorem

Similar Triangles and Pythagorean Theorem Section 6.4.

Pythagorean Theorem and Its Converse Chapter 8 Section 1.

Converse of Pythagorean Theorem

11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b.

The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.

Section 8-3 The Converse of the Pythagorean Theorem.

Pythagorean Theorem G.5.1: Prove and use the Pythagorean Theorem. Lauren Smith 9 th Grade Algebra I.

10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.

SEQUOIA CLARK I will transfer current knowledge of the Pythagorean theorem.

8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.

Warm Up Simplify the square roots

Pythagorean Theorem.

9.3 Converse of a Pythagorean Theorem

The Pythagorean Theorem

11.2 Pythagorean Theorem.

7.1 Apply the Pythagorean Theorem

The Converse of the Pythagorean Theorem

Standard: MG 3.3 Objective: Find the missing side of a right triangle.

Finding Real Roots of Polynomial Equations

Below is the equation for the Pythagorean theorem

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.

Notes Over Pythagorean Theorem

6.2: Pythagorean Theorem Objectives:

6-3 The Pythagorean Theorem Pythagorean Theorem.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

5-3: The Pythagorean Theorem

7.0: Pythagorean Theorem Objectives:

10.3 and 10.4 Pythagorean Theorem

Unit 5: Geometric and Algebraic Connections

9.2 Solving Quadratic Equations using square roots

11.7 and 11.8 Pythagorean Thm..

G3.2 Pythagorean Theorem Objectives:

Find a if: a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172

If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.

Objective The student will be able to:

Objective The student will be able to:

Lesson 8.7: Proof of the Pythagorean Theorem

10-1 The Pythagorean Theorem

Even ANSWERS TO HOMEWORK

Presentation transcript:

4.7 – Square Roots and The Pythagorean Theorem Day 2

Finding a Missing Side to a Right Triangle: Remember a 2 + b 2 = c 2 ? Find the length of the missing side of the given right triangle a = b = c = 3 4 c

Solution: + = = =

Find the length of the missing side of the given right triangle a = b = c = 1.7 a 1.5

Solution: + = = =

Find the length of the missing side of the given right triangles. WRITE OUT EACH ALGEBRAIC STEP! 9 12 c Your Turn:

15 12 a

6.5 6 b

Homework : Section 4.7 pages #’s ALL