Word Problems Pythagorean Theorem Answers Problem 1 A 35 foot ladder is leaning against the side of a building and its positioned such that the base of the ladder is 21 feet from the base of the building Find the distance above the ground where the point of the ladder touches the building Solution Let the point above the ground x As given in the question
A simple equation Pythagorean Theorem states that the square of the hypotenuse the side opposite to the right angle triangle is equal to the sum of the other two sides Following is how the Pythagorean equation is written a b c Answer Problem 2 Find the value of latex x latex in the right triangle Answer Problem 3 Find the value of latex x latex in the right triangle Answer Problem 4 The legs of a right triangle are latex 5 latex and latex 12 latex What is the length of the hypotenuse Answer
Word Problems Pythagorean Theorem Answers
Word Problems Pythagorean Theorem Answers
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Pythagorean Theorem Word Problems Instructional Video YouTube
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Answer Key Pythagorean Theorem Word Problems Matching Worksheet Answers
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Pythagorean Theorem Word Problems Set This download includes a set of 6 task cards Each card includes a word problem that requires kids to use the Pythagorean theorem to solve Some of the problems ask for the length of one of the sides of the given right triangle while a couple of the problems are actually two step problems Solution First sketch the scenario The path taken by Shane forms a right angled triangle The distance from the starting point forms the hypotenuse x 6 71 m Example The rectangle PQRS represents the floor of a room Ivan stands at point A Calculate the distance of Ivan from a the corner R of the room b the corner S of the room Solution
Word problems using the Pythagorean Theorem 1 A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z The position Z is situated at the north of X and at a distance of 60 m from X Find the distance between X and Y Solution Let XY x m These worksheets will help students learn how to solve word problems where they can utilize the use of the pythagorean theorem Aligned Standard 8 G B 8 How Far Is John Step by Step Lesson John rides away in two directions How far is he from his starting point
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Pythagorean Theorem Practice Worksheet
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagoras Theorem Questions
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Draw a right angled triangle with a square drawn on each of the sides The areas of the two smaller squares added together is equal to the area of the largest square Now draw two more triangles In the first one keep the longest side the same but make the two shorter sides a bit shorter than in your first triangle 7 comments 2 votes Upvote Flag Sid 10 years ago Draw a rectangle Draw a line that splits the rectangle into two triangles That line is a diagonal Focus on one of the triangles Notice that the triangle is a right triangle You will find that the diagonal is the longest line in the triangle
Calculate how far up the wall the ladder will reach Give your answer correct to 2 decimal places 4 Town A is 65 km due north of town B Town C is 44 km due east of town B Calculate the distance from town A to town C Give your answer correct to 2 decimal places Try the free Mathway calculator and problem solver below to practice various Worksheet 1 Word Problems Pythagorean Theorem Directions Solve by drawing a picture identifying a b and c and applying the Pythagorean Theorem Do not forget to give your answer with units and show ALL your work to receive full credit 1 Two sides of a right triangle are 8 inches and 12 inches a
11 8 Pythagorean Theorem Word Problems YouTube
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Pythagorean Theorem Word Problems Worksheet With Answers Inspirenetic
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Word Problems Pythagorean Theorem Answers - Word problems using the Pythagorean Theorem 1 A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z The position Z is situated at the north of X and at a distance of 60 m from X Find the distance between X and Y Solution Let XY x m