Section name: Pythagorean Theorem

Slides:

Advertisements

Similar presentations

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.

Advertisements

Distance, Midpoint, Pythagorean Theorem. Distance Formula Distance formula—used to measure the distance between between two endpoints of a line segment.

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest.

Warm UP. Essential Question How can I solve for side lengths of a right triangle and how can you use side lengths to determine whether a triangle is acute,

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

The Pythagorean Theorem. 8/18/20152 The Pythagorean Theorem “For any right triangle, the sum of the areas of the two small squares is equal to the area.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

Section 7.4 Applications of Quadratic Equations.

THE DISTANCE FORMULA ALGEBRA 1 CP. WARM UP Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6.

Radicals: Application and Problem Solving § 9.6. Angel, Elementary Algebra, 7ed 2 Pythagorean Theorem Revisited The square of the hypotenuse of a right.

1.3 Distance and Midpoints

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.

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

12.3 The Pythagorean Theorem

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

Lesson 9.6 Families of Right Triangles Objective: After studying this lesson you will be able to recognize groups of whole numbers know as Pythagorean.

11/11/2015 Geometry Section 9.6 Solving Right Triangles.

Chapter 9 Section 6 Radicals: Applications and Problem Solving.

Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.

The Quadratic Formula Chapter 8.6. The Quadratic Formula If, then.

Pythagorean Theorem - Thurs, Oct 7

4.7 – Square Roots and The Pythagorean Theorem Day 2.

Chapter 9 Review Square RootsTriangles The Pythagorean Theorem Real Numbers Distance and Midpoint Formulas

The Distance and Midpoint Formulas Unit 8. Warm – Up!! As you walk in, please pick up your calculator and begin working on your warm – up!! 1. Use the.

MTH 092 Section 15.6 The Pythagorean Theorem. Right Triangles A right triangle is a triangle that has one right (90-degree) angle. The side opposite the.

THE PYTHAGOREAN THEOREM AND AREA OF A TRIANGLE. Warm – Up!! Good Morning! As you walk in, get your calculator and pick up your guided notes from the podium.

Algebra Core Review Day 8. Unit 17: Radicals How do you simplify radicals? When you add or subtract radicals they must be _______! How do you multiply.

Section 8-3 The Converse of the Pythagorean Theorem.

The Pythagorean Theorem The Ladder Problem. Right Triangles Longest side is the hypotenuse, side c (opposite the 90 o angle) The other two sides are the.

Day 13 Geometry. Warm Up  Write the equation of the line through the points (– 1,3) and (5, –1) in point-slope form.  Graph the line –6x + 7y = –84.

Right Triangles.

Over Lesson 10–4 5-Minute Check 1. Over Lesson 10–4 5-Minute Check 2.

Warm Up Simplify the square roots

The Distance and Midpoint Formulas

The Right Triangle and The Pythagorean Theorem

Use isosceles and equilateral triangles

18.01 Area & Perimeter of Rectangles

Day 13 Geometry.

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

The Converse of the Pythagorean Theorem

3-6 Perpendiculars and Distance

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.

11-1: Area of Rectangles and Squares

Unit 6 Test Review.

Notes Over Pythagorean Theorem

Apply the Distance and Midpoint Formulas

Lesson 9.6 Families of Right Triangles

6-3 The Pythagorean Theorem Pythagorean Theorem.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

The Pythagorean Theorem

Radical Equations and Problem Solving

Warm-Up Complementary or Supplementary? B

Use isosceles and equilateral triangles

Measuring Segments Chapter 1.4.

28. Writing Equations of Circles

Radical Equations and Problem Solving

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

Goal: The learner will find area and perimeter.

Expressions and Formulas

Solving Addition Equations

Geometric Mean and the Pythagorean Theorem

Triangle Relationships

Warm-up (YOU NEED A CALCLULATOR FOR THIS UNIT!)

Solving equations by factoring

Presentation transcript:

Section name: Pythagorean Theorem Warm-Up What is the formula for the Pythagorean Theorem?. Section name: Pythagorean Theorem

Section name: Pythagorean Theorem Warm-Up Use the Pythagorean Theorem to find the missing side. Section name: Pythagorean Theorem

Pythagorean Theorem 𝑎 2 + 𝑏 2 = 𝑐 2 Anna has let out 50 meters of kite string when she observes that her kite is directly above Emily. If Anna is 35 meters from Emily how high is the kite?

Pythagorean Theorem 𝑎 2 + 𝑏 2 = 𝑐 2 24 inches The diagram at the right shows how a post was broken. What was the original height of the post?

Segment Addition Postulate The sum of the two smaller line segments will always equal the measure of the whole line segment. Complete: ___________ + ___________ = ___________

Write out the segment addition postulate and find the length of the missing line segment.

Set up an equation and solve for x.

Set up an equation, solve for x and the indicated line segment. 𝑥=___________ 𝐵𝐷=___________ 𝑥=___________ 𝑀𝑁=___________

Set up an equation, solve for x, and all line segments.

Homework Ticket Set up an equation, solve for x, and all line segments.

Warm-Up What is the distance formula?