Pythagorean Theorem Word Problems 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
Formulated in the 6th Century BC by Greek Philosopher and mathematician Pythagoras of Samos Pythagorean Theorem is a mathematic equation used for a variety of purposes Over the years many engineers and architects have used Pythagorean Theorem worksheet to complete their projects Table of Contents Show 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 Answers
Pythagorean Theorem Word Problems Answers
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17 Pythagorean Theorem Word Problems Worksheet With Answers Pdf
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Answer Key Pythagorean Theorem Word Problems Matching Worksheet Answers
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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 Solution a AR 4 47 m Ivan is 4 47 m from the corner R of the room b AS 10 77 m Ivan is 10 77m from the corner S of the room Example In the following diagram of a circle O is the centre and the radius is 12 cm AB and EF are straight lines Find the length of EF if the length of OP is 6 cm 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 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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Pythagorean Theorem Word Problems Worksheet
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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 The side opposite the right angle or the 90 degrees is a hypotenuse or the longest side It is the square root of 74 And the shorter sides are w and 7 And the Pythagorean Theorem tells us that the sum of the squares of the shorter side will be equal to the square of the hypotenuse so the square of the longer side
How long should the cable be Since the cable connecting the top of the mast to the point from the base of the mast forms a right triangle we know that we can apply the Pythagorean theorem to solve for the length of the cable Your starting point should be to draw a diagram in order to help you identify and label the sides of the right triangle 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
48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagorean Theorem Word Problems Worksheet
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Pythagorean Theorem Word Problems Answers - Solution a AR 4 47 m Ivan is 4 47 m from the corner R of the room b AS 10 77 m Ivan is 10 77m from the corner S of the room Example In the following diagram of a circle O is the centre and the radius is 12 cm AB and EF are straight lines Find the length of EF if the length of OP is 6 cm Solution