Name:__________ warm-up 10-5. A circular pond has an area of 69.3 square meters. What is the radius of the pond? Round to the nearest tenth of a meter.

Slides:



Advertisements
Similar presentations
PYTHAGOREAN THEOREM.
Advertisements

(3, 4, 5)(6, 8, 10)(12, 16, 20) (5, 12, 13)(10, 24, 26) (7, 24, 25) (8, 15, 17) (9, 40, 41) (11, 60, 61) (12, 35, 37) (20, 21, 29) PYTHAGOREAN TRIPLES.
Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
Name:__________ warm-up 10-6 Find the missing length. If necessary, round to the nearest hundredth. If c is the measure of the hypotenuse of a right triangle,
Pythagorean Theorem As posted by: oints/math/pythagorean.html.
Aim: How do we find the lengths of the sides in a right triangle? Do Now 1. Solve 2(x + 5) = Find the measure of the missing angle? 48 o 17 o 100.
6-3 Warm Up Problem of the Day Lesson Presentation
Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.
What is a right triangle? It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs. The side.
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.
Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.
12.3 The Pythagorean Theorem
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Warm Up Use a calculator to find each value. Round to the nearest hundredth. 1. √30 2. √14 3. √55 4. √
Name:__________ warm-up The formula for the total surface area of a cube with side ℓ is 6ℓ 2. The surface area of a cube is 648 square feet. What.
6-3 The Pythagorean Theorem Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
The Pythagorean Theorem and Its Converse OBJECTIVE: To use the Pythagorean Theorem and its converse BIG IDEAS: MEASUREMENT REASONING AND PROOF ESSENTIAL.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Pythagorean Theorem Example 1:Find the Length of.
8.1 The Pythagorean Theorem and Its Converse We will learn to use the Pythagorean Theorem and its converse.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) CCSS Then/Now New Vocabulary Key Concept: The Pythagorean Theorem Example 1:Find the Length.
Pythagorean Theorem and it’s Converse. Pythagorean Theorem Pythagorean Theorem: used for right triangles, it is a tool used to solve for a missing side.
The Pythagorean Theorem describes the relationship between the length of the hypotenuse c and the lengths of the legs a & b of a right triangle. In a right.
The Distance Formula & Pythagorean Theorem Day 90 Learning Target : Students can find the distance between 2 points using the distance formula.
WARM UP What is the Pythagorean Theorem? You place a 10-foot ladder against a wall. If the base of the ladder is 3 feet from the wall, how high up the.
Pythagorean Theorem SOL 8.10 cont.. Review Previously, we used the Pythagorean Theorem to find the hypotenuse of a right triangle. (a 2 + b 2 = c 2 )
How can you find the height of the building in the diagram below? 24 ft 7 ft x ft.
Pythagorean Theorem in Context WALK. Problem #1 To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk.
Splash Screen. Then/Now You solved quadratic equations by using the Square Root Property. Solve problems by using the Pythagorean Theorem. Determine whether.
3-8 The Pythagorean Theorem Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Over Lesson 10–4 5-Minute Check 1. Over Lesson 10–4 5-Minute Check 2.
Name:__________ warm-up 11-1 If c is the measure of the hypotenuse of a right triangle, find the missing measure b when a = 5 and c = 9.
Lesson 9.3 – 9.4 The Pythagorean Theorem Essential Question: How do you use the Pythagorean theorem to solve problems?
Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.
Main Idea and New Vocabulary Key Concept: Pythagorean Theorem
The Pythagorean Theorem
SOL 8.10 Pythagorean Theorem.
Objective The student will be able to:
7.2 The Pythagorean Theorem and its Converse
Pythagorean Theorem Converse
Warm Up Use the figure for problems 1 and 2. round to the nearest hundredth 1) Find the height a of the triangle c 10 8 a 6 9 2) Find the length of side.
Main Idea and New Vocabulary Key Concept: Pythagorean Theorem
Objective- To solve problems involving the Pythagorean Theorem.
Quiz Review.
6-3 The Pythagorean Theorem Pythagorean Theorem.
Lesson 3-8 The Pythagorean Theorem
The Pythagorean Theorem
Splash Screen.
6-3 Warm Up Problem of the Day Lesson Presentation
Solve each equation Solve each equation. x2 – 16 = n = 0
Objective- To solve problems involving the Pythagorean Theorem.
The Distance Formula & Pythagorean Theorem
Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7
The Pythagorean Theorem and Its Converse
Objective The student will be able to:
If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.
Pythagorean Theorem, its Converse and the coordinate system
Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7
Objective- To solve problems involving the Pythagorean Theorem.
Objective The student will be able to:
Objective The student will be able to:
Chapter 10 Vocabulary 1.) hypotenuse 2.) leg 3.) Pythagorean Theorem
Right Triangles and Trigonometry
Pythagorean Theorem.
Pythagorean Theorem & Its Converse
Presentation transcript:

Name:__________ warm-up 10-5

A circular pond has an area of 69.3 square meters. What is the radius of the pond? Round to the nearest tenth of a meter. Which radical equation has no solution? A. B. C. D.

Details of the Day EQ: How do radical functions model real-world problems and their solutions? I will be able to… Activities: Warm-up Review homework Quiz Notes Class work/ HW Vocabulary:.. Solve problems by using the Pythagorean Theorem. Determine whether a triangle is a right triangle. hypotenuse legs converse Pythagorean triple

10-5 Pythagorean Theorem

A Quick Review

A circular pond has an area of 69.3 square meters. What is the radius of the pond? Round to the nearest tenth of a meter. Which radical equation has no solution? A. B. C. D.

Notes and examples Find the length of the missing side. If necessary, round to the nearest hundredth.

Notes and examples Find the length of the hypotenuse of a right triangle if a = 25 and b = 60. Find the length of the missing side TELEVISION The diagonal of a television screen is 32 inches. The width of the screen is 21 inches. Find the height of the screen.

Notes and examples HIKING Amarita is hiking out directly east from her camp on the plains. She walks for 6 miles before turning right and walking 7 more miles towards the south. After her hiking, how far does she need to walk for the shortest route straight back to camp?

Notes and examples Determine whether 7, 12, and 15 can be the lengths of the sides of a right triangle. Determine whether 33, 44, and 55 can be the lengths of the sides of a right triangle.