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Pythagorean Theorem Word Problems
Contributed by: Davis
John leaves school to go home. He walks 6 blocks North 
and then 8 blocks west. How far is John from the school?
Tip:  Draw a diagram to help solve the problem.
John is 
blocks from school.
Tip:  Draw a picture to help set up the problem.
A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet. Will the ladder the top of the wall?
How far will it reach?
Yes it will reach
 No it will not reach
feet
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
meters
What is the length of the diagonal of a 
10 cm by 15 cm rectangle?
Round to the nearest hundredth.
cm
Find the length of the diagonal.
The area of a square is 81 square centimeters.  
Find the length of a side.
diagonal = 
cm
s = 
(Round to nearest 
Hundredth)
cm
The bottom of a ladder must be placed 3 feet 
from a wall. The ladder is 12 feet long. 
How far above the ground 
does the ladder touch the wall?
Round to the nearest tenth.
feet
An isosceles triangle has congruent sides of 20 cm. 
The base is 10 cm. Find the height of the triangle
h = 
Round to nearest tenth.
cm
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