Bellwork 1.(-8) 2 = 64 2. √81= 9 3. 6 3 = 216 4. √12= 2√3.

Slides:



Advertisements
Similar presentations
The Pythagorean Theorem c a b.
Advertisements

Things to do: ♥Make a new note book ♥Get out your homework (triangle worksheet)
Lesson 9-5 Pages The Pythagorean Theorem Lesson Check 9-4.
The Pythagorean Theorem. Objectives The objective of this lesson is for you to learn and apply the Pythagorean Theorem -- an important relationship between.
Section 8-2 The Pythagorean Theorem Objectives: Solve problems using the Pythagorean Theorem Right Angle: angle that forms 90° Hypotenuse: in a right triangle,
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.
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Lived in southern Italy during the sixth century B.C. Considered.
Pythagorean Theorem.
5.4 The Pythagorean Theorem & Converse Es sential Question: How can we identify and apply the Pythagorean Theorem and its converse by solving problems.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.
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.
Objective The student will be able to:
Chapter 7.4 Notes: Special Right Triangles
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.
Triangles and Lines – Special Right Triangles There are two special right triangles : 30 – 60 – 90 degree right triangle 45 – 45 – 90 degree right triangle.
Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as a means to understand the.
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as.
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as.
A b c. Pythagorean Theorem Essential Questions a 2 + b 2 = c 2 The Pythagorean Theorem a 2 + b 2 = c 2 “For any right triangle, the sum of the areas.
Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,
Solve the first 4 questions on your worksheet.
Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles.
- Special Right Triangles Chapter 4 Understanding Trigonometric Functions Language Objectives: We will review Special Right Triangles by do worksheet 11A.
30  - 60  - 90  Triangles And You! Remember the Pythagorean Theorem? The sum of the square of the legs is equal to the square of the hypotenuse. a.
8-2 Special Right Triangles. Problem 1: Finding the Length of the Hypotenuse What is the value of each variable?
OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.
Pythagorean Theorem - Thurs, Oct 7
Objectives: 1) To use the Pythagorean Theorem. 2) To use the converse of the Pythagorean Theorem.
11.4 Pythagorean Theorem Definitions Pythagorean Theorem
1/8/20161 The Pythagorean Theorem Ms.Bianco. 1/8/20162 Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician.
The Pythagorean Theorem
1-6 Midpoint and distance in the coordinate plane
The Pythagorean Theorem We are learning to…solve for the missing side of right triangles using the Pythagorean Theorem. Sunday, January 24, 2016.
The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.
The Pythagorean Theorem Presented by: Tanya Van Dam Kalles Junior High Algebra 2 Spring 2000.
 Remember the pattern for right triangles: Area of small square + Area of medium square = Area of large square.
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.
The Pythagorean Theorem Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as.
DIRECTIONS SIT IN YOUR DESK AND TURN THEM TO FACE THE POWERPOINT GET A CALCULATOR GET YOUR NOTEBOOK AND WRITING INSTRUMENT OUT TO TAKE NOTES.
Applying Pythagorean Theorem
Pythagorean Theorem and it’s Converse
The Pythagorean Theorem
The Pythagorean Theorem
Pythagorean Theorem: Explanation and Application
The Pythagorean Theorem Mr. Clutter VMS Library
LESSON 15 PYTHAGAREAN THEOREM.
Finding the Hypotenuse
The Pythagorean Theorem
The Pythagorean Theorem Mr. Clutter VMS Library
a2 + b2 = c2 Pythagorean Theorem c c b b a a
Pythagorean Theorem.
5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA
The Pythagorean Theorem
Page 134 First, some definitions.
Pythagorean Theorem Pre-Algebra.
7-1 and 7-2: Apply the Pythagorean Theorem
Pythagorean Theorem.
8.1 Pythagorean Theorem & Its Converse In a right triangle, the square of the hypotenuse is equal to the sum of the squares of both legs. c a b.
6.5 Pythagorean Theorem.
The Pythagorean Theorem
Solve for the unknown side or angle x
The Pythagorean Theorem
Applying Pythagorean Theorem
The Pythagorean Theorem
Pythagorean Theorem Pre-Algebra.
Bellwork Find the measure of angle Find the measure of angle B.
Presentation transcript:

Bellwork 1.(-8) 2 = √81= = √12= 2√3

Agenda: Bellwork I Need Help Objective Notes Discussion Practice Reflection

I need help!!! My son is starting Baseball for the season. His coach has positioned him at second base. He was able to make the throw to first with no problem, but couldn’t quite get it to home plate. Why do you think he can’t make it to home plate, and what should he do about it ?

This is a baseball diamond. Can you draw paths to the two places he will throw. Include a line for the path from home to 1st

The red lines show a right triangle

What is a right triangle? a triangle with a 90degree angle How do you know that this triangle is a right triangle? The box in the corner indicates a right angle What other way could you tell that this triangle is a right triangle? If it has 90◦ in the same corner or if they tell you that it is a right triangle or if the two legs are perpendicular Can you identify the parts? see diagram Remember any formulas that involve right triangles? Pythagorean theorem Hypotenuse C Leg B Leg A The hypotenuse is the longest side and is across from the right angle Either leg can be labeled a or b and they form the right angle

Objective: TLW apply the Pythagorean theorem to solve for a missing side of a right triangle

Pythagorean Theorem a 2 + b 2 = c 2  The sum of the squares of the two legs of a right triangle is equal to the square of the third side

45 ft

How far does the ball have to go for him to make his throw to home plate ? Lets look at what we had on the diamond. Both the legs A and B are 45 feet long. They are the legs because they form the right angle. The length we need is across from the right angle. That is the Hypotenuse C. a 2 + b 2 = c = c = c = c 2 √4050 = c 63.6 = c so he has to throw almost 64 feet to make it to home plate

The Left Centerfielder is 75 feet away from the 1 st baseman. He needs to throw to his cutoff man to make a play at Home. What is the length of the throw that he will have to make?

Practice: Page 202 of the book problems 1-16

Complete the following triangle and label the sides with the appropriate names Reflect