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Thursday, August 22, 2019

pythagoras theroem.

in class we are learning about Pythagoras's theorem. this was a very difficult task we were all struggling at the start but by the end we got through the tasks.
Pythagoras theorem is a method to see what the hypotenuse* is.
slide to help me tell you how it works

*hypotenuse is the longest part of a right Angle triangle and the opposite the angle.
if you think there is no use to this think again i will prove to you there is.

Navigation

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. For instance, if you are at sea and navigating to a point that is 300 miles north and 400 miles west, you can use the theorem to find the distance from your ship to that point and calculate how many degrees to the west of north you would need to follow to reach that point. The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation. For instance, a plane can use its height above the ground and its distance from the destination airport to find the correct place to begin a descent to that airport.

Architecture and Construction

Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle.
Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem.

to be nice have a video: pythagoras theorem youtube clip

3 comments:

  1. Hello Liam
    most of this work looks good to me keep up the good work but you cud put some pitchers in to good job.
    braydon

    ReplyDelete
  2. Hi Liam. i like that you have lots of information about Pythagoras Theorem
    but it kind of looks copy and pasted but good job anyway

    ReplyDelete
  3. Hi Liam. i like that you have lots of information about Pythagoras Theorem
    but it kind of looks like you have copy and pasted it. Maybe next time you could write it in your own words,Good job anyways!.

    ReplyDelete

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