Pythagorean Theorem Word Problems Answer Key

Pythagorean Theorem Word Problems Answer Key Solution Let the point above the ground x As given in the question Length of the foot ladder 35 Base of the ladder 21 feet Let the equation be a b c 21 x 35 441 x 1225 Subtracting by 441 on both sides x 784 Squaring and both sides x 784 x 28

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 A2 b2 c2 In this formula a represents the length of one of the straight lines that makes up a side length in a triangle b represents the length of the second side length c represents the length of the hypotenuse of a triangle Note that a and b can be used interchangeably without impacting your calculation

Pythagorean Theorem Word Problems Answer Key

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Pythagorean Theorem Word Problems Answer Key
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Pythagorean Theorem Word Problems Worksheet
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Answer Problem 6 Suppose the shorter leg of a right triangle is latex sqrt 2 latex The longer leg is twice the shorter leg Find the hypotenuse Answer Problem 7 The hypotenuse of a right triangle is latex 4 sqrt 2 latex If the longest leg is half the hypotenuse what is the length of the shortest leg Answer N 42 mi 54 7 mi W E S 2 Joshua won a laptop in a school ra e The laptop screen measures 10 inches in height and 24 inches in width Find the diagonal length of the laptop screen

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 Solution Let XY x m Therefore YZ 100 x m In XYZ Z 90 Therefore by Pythagoras theorem XY 2 YZ 2 XZ 2 x 2 100 x 2 60 2 x 2 10000 200x x 2 3600 200x 10000 3600 200x 13600 x 13600 200 x 68 Therefore distance between X and Y 68 meters 2

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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 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

A Pythagorean Theorem Word Problems Worksheet with an Answer Key is a tool used in math education to help students practice applying the Pythagorean Theorem to real life situations It includes a series of word problems that require students to use the theorem to solve for missing lengths in right triangles Next Direct and Inverse Proportion Practice Questions GCSE Revision Cards 5 a day Workbooks

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48 Pythagorean Theorem Worksheet With Answers Word PDF
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Pythagorean Theorem Word Problems Answer Key - All the skills that we covered are scattered throughout the quizzes Quiz 1 Find the width of a triangle that has a 3 cm height and a hypotenuse of 4 cm Quiz 2 Find a when b 10 c 11 Quiz 3 We can use the Pythagorean Theorem to find the missing side The missing side is the hypotenuse C when using the Pythagorean Theorem