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Pythagorea
n Theorem
Names_________________________________
Student
Worksheet
Click on
http://www.mathleague.com/help/geometry/polygons.htm#trian
gle
to begin completing your worksheet.
First
Quest
Mastering
the Basics
- In this
section,
you will
learn to
classify
triangles
according
to their
angles
and sides.
1) What is the sum of the angles of every triangle?
___________________
2) A triangle in which all the sides have the same length is called an
___________________ triangle.
3) A triangle with two sides having the same length is called an
_______________________ triangle.
4) A triangle in which none of the sides have the same length is
called a ________________ triangle.
5) A triangle with a 90o angle is called a __________________
triangle.
6) A triangle with an angle greater than 90o is called an
______________________ triangle.
7) A triangle in which none of the angles are greater than 90 o is
called an ______________ triangle.
Second
Quest
Go to: http://festivals.iloveindia.com/teachers-day/famousteachers/pythagoras.html
Mastering
the
Pythagorean
Theorem
8) Where was Pythagoras born? When?
9) Did Pythagoras himself prove the theorem? What was common
In this
practice at this time?
section
you will
learn
about a
powerful
formula for
working
with right
triangles
and
practice
using it to
solve
practical
problems.
Go to the next link: http://www.pbs.org/wgbh/nova/proof/puzzle/
10) The Pythagorean Theorem is a powerful tool for finding the
length of the third side of a right triangle when the other two sides
are given. The Pythagorean Theorem (formula) is
_________________________________ where A and B are the
legs of the triangle and C is the hypotenuse ( always directly across
from the right angle).
11) Use the Pythagorean Theorem to find the length of the third side
of the right triangle described below. Round your answer to the
nearest tenth.
a.) One side is 7, the second side is 12, how long is the
hypotenuse?
b.) One side is 8, the second side is 9. How long is the hypotenuse?
Go to the next link:
http://www.pbs.org/wgbh/nova/proof/puzzle/ladder.html
12) Did you solve the ladder problem? Enter the answer here. Show
your work below ______________________
Go to the next link
http://www.pbs.org/wgbh/nova/proof/puzzle/baseball.html
13) How far did you have to throw that baseball? Show your
work__________________
Go to the next link:
Third
Quest
http://www.history.navy.mil/faqs/faq8-1.htm
14) What has happened in the Bermuda Triangle that has given it a
mysterious reputation?
Solving
the
Mysterious
Bermuda
Triangle
15) Give three possibilities to explain why so many ships have
disappeared in this area.
In the final
section
you will
research
Go to the next link
the
Bermuda
http://www.worldatlas.com/aatlas/infopage/bermudat.htm
Triangle.
16) Although the area is called the Bermuda Triangle, there is
disagreement about the exact location and shape. Using the map on
this link give the location of the apexes of the triangle.
from__________________
to____________________to_________________