FAMOUS PYTHAGOREAN TRIPLES:

Slides:

Advertisements

Similar presentations

Pythagorean Theorem iRespond Review CCGPS Math 8 Palmer Middle School.

Advertisements

The Pythagorean Theorem c a b.

PYTHAGOREAN THEOREM.

(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.

Book 2 Chapter 6 a b c. This is a right triangle:

Warm Up # 4 A pine tree grower determines that the cost of planting and caring for each Pine tree is $ The fixed costs for managing the tree farm.

The Pythagorean Theorem A tool for right triangle problems only.

GOAL 1 PROPORTIONS IN RIGHT TRIANGLES EXAMPLE Similar Right Triangles THEOREM 9.1 If the altitude is drawn to the hypotenuse of a right triangle,

Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.

Solve for the hypotenuse and round the nearest tenth. a= 15 b= 20 c= ? a b c 50.

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.

Then/Now You have already found missing measures of similar triangles. (Lesson 6–7) Use the Pythagorean Theorem to find the length of a side of a right.

Pythagorean Theorem As posted by: oints/math/pythagorean.html.

The Pythagorean Theorem

THE PYTHAGOREAN THEOREM. PYTHAGOREAN THEOREM REAL LIFE EXAMPLE The following is a rule of thumb for safely positioning a ladder: The distance from the.

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.

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

Right Triangles And the Pythagorean Theorem. Legs of a Right Triangle Leg -the two sides of a right triangle that form the right angle Leg.

Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

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.

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

CCII Unit 5 Warm-Ups. Warm-Ups (Monday 11/17) a) Describe the transformation from the parent graph b) Domain:c) Range: d) Vertex:e) Axis of Symmetry:

Unit 3 - Study Guide Answers.

The Pythagorean Theorem A tool for right triangle problems.

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.

Today’s learning Target: 3.8B I can use the Pythagorean Theorem to find the leg of a right triangle.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

Unit 3 - Study Guide.

Unit 3 - Study Guide. Questions 1 & 2 The Pythagorean Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares.

How can you find the height of the building in the diagram below? 24 ft 7 ft x ft.

8.2 Pythagorean Theorem and Its Converse Then: You used the Pythagorean Theorem to develop the Distance Formula. Now: 1. Use the Pythagorean Theorem. 2.

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.

Example 1 1.What is the area of a square with a side length of 4 inches? x inches? 2.What is the side length of a square with an area of 25 in 2 ? x in.

Pythagorean Theorem. Foldable 1.Cut out the rectangle. Fold down the blank to rectangle, and fold up the blank bottom rectangle. Cut only the lines separating.

Sec 6.6 Pythagorean Theorem (Leg1) 2 + (leg2) 2 = (Hyp) 2 hypotenuse Leg 2 Leg 1.

Unit 3 - Study Guide. Questions 1 & 2 The Pythagorean Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares.

Parts of a Right Triangle A B C Leg Hypotenuse Acute Angle Right Angle Acute Angle R e m e m b e r t h a t t h e h y p o t e n u s e i s a l w a y s t.

Guided Notes/Practice

The Pythagorean Theorem

The Pythagorean Theorem

The Pythagorean Theorem

Pythagorean Theorem Converse

The Pythagorean Theorem

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

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

The Pythagorean Theorem

Unit 5: Pythagorean Theorem

The Pythagorean Theorem c a b.

Pythagorean Theorem Practice, Practice, Practice!.

the triangle is a RIGHT TRIANGLE.

Objective- To solve problems involving the Pythagorean Theorem.

Pythagorean Theorem.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

Objective- To solve problems involving the Pythagorean Theorem.

The Distance Formula & Pythagorean Theorem

Solve for the unknown side or angle x

Pythagorean Theorem OR.

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

Sine and Cosine Rule s.small.

The Pythagorean Theorem

Chapter 10 Vocabulary 1.) hypotenuse 2.) leg 3.) Pythagorean Theorem

The Pythagorean Theorem

Right Triangles and Trigonometry

Pythagorean Theorem.

Bellwork Find the measure of angle Find the measure of angle B.

Pythagorean Theorem & Its Converse

By: Robert Ulloa/ Josue Apodaca

Presentation transcript:

FAMOUS PYTHAGOREAN TRIPLES: ACT Question, Pre-Algebra 1. If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle? A. 48 B. 63 C. 90 D. 126 E. 252 2. The triangle shown below is a right triangle. Which equation could be used to determine the value of x? A. B. C. D. 3. The triangle shown is a right triangle. Find the length of the missing side.

4. A ladder is 10 feet long and reaches 8 feet up a wall, as shown below. How many feet is the bottom of the ladder from the base of the wall? 5. Approximate the length of the hypotenuse to the nearest tenth. 6. A plane traveled 15 miles west then 20 miles due north. It then flies on a diagonal path directly back to its starting point. Draw and label a diagram of the plane’s route. Determine the distance of the diagonal path the plane traveled. Show your work.