Devon designed a sign for his company. The sign is in the shape of a right triangle. One leg of the triangle is 4 feet. The other leg is 3 feet long. a.Make.

Slides:



Advertisements
Similar presentations
EOC Practice #22 SPI
Advertisements

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.
GRADE 8 ALGEBRA THE PYTHAGOREAN THEOREM. WELCOME In this Web-Quest you will learn a little about Pythagoras and what he contributed to our world. You.
AREAS OF COMMON POLYGONS
Copyright © Ed2Net Learning, Inc. 11 Grade 8 Pythagorean Theorem #1.
Applications of the Pythagorean Theorem
CONFIDENTIAL 1 Grade 8 Pre-Algebra Pythagorean Theorem 2.
Measurement GCRCT Review
ACT ASPIRE PART 1 Geometry Pythagorean Theorem.
AREA OF TRIANGLES AND TRAPEZOIDS #34. You can divide any parallelogram into two congruent triangles. So the area of each triangle is half the area of.
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.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 5 Polynomials and Factoring.
Pythagorean Theorem Two sides of a right triangle measure 6 feet and 8 feet. What is the length of the hypotenuse?
Name:__________ warm-up 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.
Apply the Pythagorean Theorem
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
or about 6.2. Find the exact length of the missing side of each right triangle. Also find a decimal estimate of any irrational length. 5.
Warm Up 10/29 Pythagorean Theorem CRCT Practice Mr. James designed a vegetable garden in the shape of a square. He plans to build a walkway through the.
Pythagorean theorem! By : Katey Lynch. History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Unit 3 - Study Guide Answers.
Section 10A Fundamentals of Geometry
RIGHT TRIANGLES A² + B² = C² C
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.
Chapter 5 Unit Question How do we solve applications of equations in algebra?
1. 2 Get a rectangular piece of paper and cut it diagonally as shown below. You will obtain two triangles with each triangle having half the area of the.
Pythagorean Theorem Test Review
Aileen is making a flag for one of her classes. The flag is in the shape of a right triangle. If the two sides of the triangle are 5 inches and 12 inches,
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 8 Geometry.
The Pythagorean Theorem We are learning to…solve for the missing side of right triangles using the Pythagorean Theorem. Sunday, January 24, 2016.
Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.
The Pythagorean Theorem Only works for right triangles.
The Pythagorean Theorem a2 + b2 = c2
Unit 3 - Study Guide.
Unit 5 Review Calculating area, surface area and volume.
Bell-Ringer – 14 DAYS TILL TCAP! Show extended form and solve: A) 1 ⁴ B) 2⁵ Show simplified form and solve: C) 2 x 2 x 2 D) 5 x 5 x 5 x 5 E) 3 x 3 x 3.
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.
Oak-Land Junior High Geometry Ch. 5 Presented by: Mrs. Haugan Math.
SKILL MAINTENANCE 1. Simplify the expression: (5 4 ) 3 x 5 x 2 0 A B x 2 C x 2 D SKILL MAINTENANCE 1. Simplify the expression:
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.
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.
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.
Right Triangles.
Geometry/Trig 2Name: ________________________________ Pythagorean Theorem Problem SolvingDate: _________________________________ Directions: Complete each.
Over Lesson 10–4 5-Minute Check 1. Over Lesson 10–4 5-Minute Check 2.
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.
Lesson 9.3 – 9.4 The Pythagorean Theorem Essential Question: How do you use the Pythagorean theorem to solve problems?
Name ____________Class_____ Date______ Area of Rectangles The ________ _ of a figure is the amount of surface it covers. It is measured in ________ __.
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
Solving word Problems.
Solving Applications 5.8 Applications The Pythagorean Theorem.
Distance on a Coordinate Grid
Standard: MG 3.3 Objective: Find the missing side of a right triangle.
The Pythagorean Theorem
Which equation could be used to find the length of m?
a2 + b2 = c2 Pythagorean Theorem c c b b a a
Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.
Pythagorean Theorem Practice, Practice, Practice!.
Pythagorean Theorem.
The Pythagorean Theorem a2 + b2 = c2
The Pythagorean Theorem
Name: _________________
The Pythagorean Theorem a2 + b2 = c2
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
The Pythagorean Theorem
10-1 The Pythagorean Theorem
The Pythagorean Theorem a2 + b2 = c2
Presentation transcript:

Devon designed a sign for his company. The sign is in the shape of a right triangle. One leg of the triangle is 4 feet. The other leg is 3 feet long. a.Make a sketch of the shape of the sign. Label the measurements of the legs and hypotenuse of the sign. b.What is the length, in feet, of the hypotenuse of the sign?

Aileen is making a flag for one of her classes. The flag is in the shape of a right triangle. If the two sides of the triangle are 5 inches and 12 inches, what is the length of the third side (hypotenuse)?

Cameron walked 9 meters due east and then 40 meters due north in Central Park in New York City. What is the shortest distance from the point where Cameron started to where she ended? A. 31 B. 41 C. 49 D. 360

Jeb built a ramp like the one pictured below. What is the height, in inches, of Jeb’s ramp? A. 5 B. 12 C. 18 D in. 13 in. height

Lookout Road is perpendicular to Village Road. Sam knows that the straight-line distance from his house to Julie’s house is 15 miles. Julie knows that the straight-line distance from her house to the library is 12 miles. Sam used the Pythagorean Theorem to estimate the distance from his house to the library. What is the distance from Sam’s house to the library? A. 3 miles B. 9 miles C. 12 miles D. 27 miles

A right triangle has a hypotenuse measuring 15 inches and one leg measuring 9 inches. What is the length, in inches, of the other leg of the triangle? A. 3 B. 6 C. 10 D. 12

From the front door of his house, Darren walked 9 yards due east and 12 yards due south. What is the shortest distance in yards from Darren’s starting point to where he stopped?

Mrs. Hinojosa wants to find the length of the diagonal of the rectangular floor of her classroom that measures 20 feet by 21 feet. a.Draw and label a picture of Mrs. Hinojosa’s classroom floor. b.b. Calculate the diagonal length of the classroom floor.

Jamie is going to fence his garden to keep rabbits out. If his rectangular garden has a length of 12 feet and a width of 9 feet, what is the diagonal, in feet, of the garden? A. 42 B. 36 C. 21 D. 15

Trapezoid JKLM is shown below. If the length of the altitude in the trapezoid is 8 centimeters, what is the length of leg KL? A. 12 cm B. 10 cm C. 9 cm D. 6 cm

The dimensions of a trapezoid are shown in the diagram below. What is the length, in feet, of k?

The dimensions of a trapezoid shaped flag are shown below. What is the length, in centimeters, of h?

Reid, Dario, and Ruben each have 3 pieces of craft sticks. The chart below shows the lengths of each of their pieces of craft sticks. Lengths of Craft Sticks, (in centimeters) Each boy wants to use his 3 pieces of craft sticks to form a right triangle. The pieces of craft sticks cannot be bent, broken, cut, or overlapped. The pieces of craft sticks must be placed so that only the ends of the pieces of craft sticks are touching. Which boy or boys can use their pieces of craft sticks to form a right triangle? Piece 1Piece 2Piece 3 Reid12910 Dario13125 Ruben534

Which of the two triangles shown below has the greater area? How many square units is the greater triangle?