I need a real world problem that uses the Pythagorean Theorem (c squared=a squared + b squared).?

I need a real world problem that uses the Pythagorean Theorem (c squared = a squared + b squared) for my math project.

I need a real world problem that uses the Pythagorean Theorem (c squared=a squared + b squared).?
Cassie, a socialite and billionaire was building a mall. Unfortunately, her contractors told her that she would need to remove the Abercrombie and Fitch store she had in her mall because the square roof wouldn't cover it. So, the brilliant Cassie decided to make her roof triangular. She found out that one of the sides needed to be 5 square feet. The hypotenuse 13 square feet. How many square feet must the final side of the triangular roof be in order to have Abercrombie and Fitch in Cassie's new mall?





Answer: 12


13 squared (169) - 5 squared (25) = 144


The square root of 144 is 12
Reply:In construction, Pythagorean's Theorem can be used to square an angle. If, for example, you want to build a new wall and adjoin it perpendicularly to a fixed wall, first mark the spot on the floor near the fixed wall where the edge of the bottom plate will sit. This will be point "C". (The bottom plate is the piece of wood or steel that runs the length of the bottom of the wall and to which you affix the studs.) Next, measure straight out from point "C" exactly 3 feet and draw a broad arc; a foot long arc should be plenty. To get a proper arc you'll need to use a piece of string or a tape measure as a compass. Then, measure from point "C" exactly 4 feet down the fixed wall and mark that spot on the floor right next to the wall. We'll call this spot point "A". Now from "A", measure exactly 5 feet toward the arc you drew and draw another arc, this time intersecting the first arc. This point of intersection we'll call "B". Finally, using a chalkline or long straightedge make a line from "C" to "B". This line, called "a", will be perfectly square with the fixed wall, providing the measurements were precise. So, "a" is 3 feet long, "b" (the length or wall between "C" and "A") is 4 feet long, and the last line "c" is 5 feet. Using the theorem, you can see that we constructed a simple right triangle.


3 squared (9) + 4 squared (16) = 5 squared (25). Obviously, this would work for any multiple of these values too, ie. 6, 8, and 10; 9, 12, and 15, etc., where all three values are increased by the same factor.
Reply:The line attached to the top of a flagpole is 100 feet long. When the free end of the line is placed on the ground, it is 60 feet from the base of the flag pole.


How high is the flag pole?





100^2 - 60^2 = Height^2


10000 - 3600 = 6400.


Pole is 80 feet tall.
Reply:when u have a right angle structure but you cant measure it diagonally =) or when you dont have time... then you can just measure 2 of the sides
Reply:Two of the better uses:





Finding the "as the crow flies" distance, for example, when going on city streets five blocks west and 7 blocks south.





Measuring to find if two walls are square. If you have built two wall frames, one is 8 feet and another is 10 feet, how long should the diagonal measure to verify that you have placed the walls a 90 degree angle? Or, alternately, if you are building a rectangular pad to pour a 7 by 12 foot concrete pad, how can you verify that your forms are square?





Have fun!
Reply:1)a ship sailed north a distance of 40 miles, then sailed east a distance of 20 miles, find the distance between the start and end points.


2) the length of a pencil case is 29=0cm,the width is 8cm, find the length of the longest pencil that can fit into the pencil case?
Reply:You're fencing in an area with the shape of a right triangle. You know how long two sides will be, but you need to know how much fencing you need for the hypotenuse.
Reply:A ray of light is travelling from north towards south and it has travelled 49 km until it hit a mirror which reflected the light towards east. The ray of light reflected towards east has travelled 47 km until it hit another mirror which reflected it diagonally towards the initial point which is north. How long is the line reflected towards north diagonally? Round the result to two decimals.


Answer: (c squared = a squared+b squared) which is equal to ( line travelling toward initial point diagonally= 49 squared + 47 squared) The result is: 2401+2209=4610 then you work out the square root of 4610 which is 67.8969808 which rounded to two decimals is 67.90 or 67.9
Reply:the size of tv screens is given in terms of the length of the diagonal of the screen; so if you have a square screen, what is the length of each side; you have to use the pythagorean theorem to solve for this
Reply:You'd see the law of cosine more than Pythagorean Theorem.





You can find the length of a diagonal of a fence. Length of a building (if you know 2 sides, which is rare). And you can sometimes calculate the distance you'll be traveling when you suicide.





O yea, here's the law of cosine. It's much more useful.





c^2 = a^2 + b^2 - 2ab cos C





C is the angle directly across side c.


c can be any side you want, but you must remember that a and b are the other two sides.

radiata