Pythagorean Theorem Word Problems And Answers You might need Calculator Steve is turning half of his backyard into a chicken pen His backyard is a 24 meter by 45 meter rectangle He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner How many meters of fencing will Steve need meters Show Calculator Stuck
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 Here s the Pythagorean Theorem formula for your quick reference Problem 1 Find the value of latex x latex in the right triangle Problem 2 Find the value of latex x latex in the right triangle Problem 3 Find the value of latex x latex in the right triangle Problem 4 The legs of a right triangle are latex 5 latex and
Pythagorean Theorem Word Problems And Answers
Pythagorean Theorem Word Problems And Answers
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagorean Theorem Word Problems Worksheet With Answers Inspirenetic
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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 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 Therefore YZ 100 x m In XYZ Z 90
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 Good question 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
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Test prep Awards Improve your math knowledge with free questions in Pythagorean theorem word problems and thousands of other math skills 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
Do your students need help breaking down and solving word problems You might like this set of editable word problem templates Use with any grade and any type of word problem FREE Word Problem Templates Simply enter your email here to receive this set of Editable Word Problem Solving Templates The Pythagorean Theorem is the expression of the relationship between the three sides of a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides In these worksheets your students will solve word problems that require them to use the Pythagorean Theorem There are 11 worksheets in this set
48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagorean Theorem Word Problems Worksheets Answer Key
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Pythagorean Theorem Word Problems And Answers - 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