Pythagorean Theorum

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Welcome to Pythagorean Theorem
Pythagorean Theorem
Rehab Aldakhil 2015
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History of Pythagoras
Pythagoras was born in Greece, and he did a lot
of traveling to Egypt to learn things and
mathematics. In his early years, he was not
known much. However, Pythagoras gained his famous
status by founding a group it includes
"Brotherhood of Pythagoreans", which is focused
on a study of mathematics. Even though
Pythagoras is credited with discovering the
famous theorem, it is not possible to say if he
is the actual author.
http//www.geom.uiuc.edu/demo5337/Group3/hist.ht
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The Objectives of This Lesson
You are going to learn What are the
qualifications of the triangle to be right.
How to apply the Pythagorean ' formula on
the three legs. How to apply the equation for
triangles in graphics and everyday life by using
Pythagorean Theorem.
1-
2-
3-
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There are many kinds of triangles such as
Equilateral Triangle, IsoscelesTriangle, and
right triangle. We are going to explain the right
triangle in this lesson.
Kinds of Triangles
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3
5
Equilateral Triangle
3
Right Triangle
3
4
4
4
Isosceles Triangle
3
5
1- A right triangle has 90 angle on A-B
corner. 2- The hypotenuse C should be the
largest side in the right triangle.
The qualifications of a Right Triangle
Hypotenuse
5
B
C
3
90
4
A
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These legs are marked with an A, B, while
the hypotenuse is marked with a C In this
case, the formula is A2 B2 C2. The sum of
the squares of the two lengths of legs (AB)
equals the square of the length of the Hypotenuse
(C)
Explain the Pythagorean' Theorem
Hypotenuse
5
C
B
3
90
4
A
7
The Pythagorean theorems' formula is A2 B2
C2 42 32 c2 4x4 3x3 c2 16 9
c2v 25 c2v 25 5
Finding the Hypotenuse
Hypotenuse
?
B
C
3
90
4
A
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Practice Problem (1)!!
Find the length of leg C in the triangle on the
left.
???
C
B
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First check these points then start 1-
Right-angled triangle 2- The
hypotenuse C is the largest side
90
8
A
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Practice Problem (1-A)!!
Find the length of leg C in the triangle on the
left.
???
C
B
6
First check these points then start 1-
Right-angled triangle 2- The
hypotenuse C is the largest side
90
8
A
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Answer the Practice(1-B)
A2 B2 C2 82 62 C2 8x8 6x6
C2 64 36 C2 v 100 C2 v 100 102 C2
10
10
C
B
6
90
8
A
The answer is C 10
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Find the length of leg C in this triangle.
Practice Problem(2)!!
???
C
First check these points then start 1-
Right-angled triangle 2- The
hypotenuse C is the largest side
B
A
21
72
90
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Find the length of leg C in this triangle.
Practice Problem(2-A)!!
???
C
First check these points then start 1-
Right-angled triangle 2- The
hypotenuse C is the largest side
B
A
21
72
90
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A2 B2 C2 722 212 C2 72x72 21x21
C2 5184 441 C2 v 5625 C2 v 5625 752 C2
75
Answer the Practice(2-B)
75
C
B
A
21
72
The answer is C 75
90
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How to Apply Pythagoras' Theorem in the
Daily Life
Computer
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By knowing the two lengths between this man and
the highest point (4 miles) and the lowest point
(3 miles), we can measure how tall it is.
How to use Pythagoras' theorem to measure the
tall of house or tree?
4 miles
??
3 miles
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Finding the Right Size for Computer If you want
to get a new computer, and you have for example
22 inch as a size of the holder. By using
Pythagoras' Theorem, you are going to measure the
height and width of the new computer screen
before buying it to find out whether the diagonal
length(22) inch is the a perfect size to fit in
your holder or not!
How to use Pythagoras' theorem to measure the
diagonal length of computer?
??
Computer
??
22
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Review of Pythagoras' theorem
Review The qualifications of Right Triangle
It has to be 90 the hypotenuse should be the
largest . The
Pythagorean ' theorem It is A2 B2 C2

1-
2-
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Thank you
The End