Developer’s name: Ahmed Fallatah 03/17/2013 ETEC 544 Instructor: Brian Newberry Start.

Developer’s name: Ahmed Fallatah

03/17/2013

ETEC 544 Instructor: Brian Newberry

Start

a2 + b2 = c2

Instruction

To use this product effectively please follow the instruction below:

• Read carefully each screen and understand the contents.

• Do the practice that included in the product.

• Use the Bar at the bottom of the screen to navigate the product.

• Use the next button to go to next screen.

• The time supposed to complete the project is 40 to 50 minutes.

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a2 + b2 = c2

Objectives

After working on the product you will be able to:

Identify a right triangle.

Using the Pythagorean Theorem to calculate the

lengths of the hypotenuse of a right triangle.

Calculate any missing leg of a right triangle.

objectives Pythagoras Pythagorean Theorem

Real Examples Example 1 Example 2 Practice 1 Identifying any

missing leg Practice 2 ReviewRight triangle

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a2 + b2 = c2

Who is Pythagoras? Pythagoras was a Greek mathematician and

a philosopher, but he was best known for his

Pythagorean Theorem. He was born around 572 B.C. on the island of Samos. For

about 22 years, Pythagoras spent time traveling though Egypt and Babylonia to

educate himself.

Pythagoras excelled in many subjects, such as music, medicine and

mathematics. Pythagoras made influential contributions to philosophy and

religious teaching in the late 6th century BC.

He is often revered as a great mathematician, mystic and scientist, but he is

best known for the Pythagorean Theorem which bears his name.




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a2 + b2 = c2

What is Pythagorean Theorem?

Pythagorean Theorem states that the square of the hypotenuse C is equal to the squares

of the two sides of the triangle A and B , or A2 + B2 = C2, where C is the hypotenuse.




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AB

c

Press the action button to see how the equation is formulated

a2 + b2 = c2

Real Examples

Imagine that, You're locked out of your

house and the only open window is on

the second floor, 25 feet above the

ground. You need to borrow a ladder

from one of your neighbors. There's a

bush along the edge of the house, so

you'll have to place the ladder 10 feet

from the house.




NEXT26.93 feet

What length of ladder do you need to reach the window?

a2 + b2 = c2

Right triangle and hypotenuse

Right triangle is a triangle containing an angle of 90 degrees.

The hypotenuse of a right triangle is the triangle's longest side. Or it is the

side opposite the right angle.

Not Right triangle

Hypotenuse

90 degrees angle

Right triangle




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a2 + b2 = c2

Example 1

Find the unknown length for the triangleShown, A = 3 , b =4

a2 + b2 = c2

The square of a (a²) plus the square of b (b²) is

equal to the square of c (c²)

32 + 42 = 52

9 + 16 = 25

C = 25

C = 5

ANSWER




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a2 + b2 = c2

Example 2Find the unknown length for the triangle

Shown, A = 3 , b =4

a2 + b2 = c2

52 + 122 = c2

25 + 144 = c2

169 = c2

c2 = 169

c = √169

c = 13

ANSWER




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a2 + b2 = c2

Practice 1

Now it is your turn to solve this problem.

Does the triangle with the given side lengths is

a right triangle?

Does a2 + b2 = c2?

No the triangle is not a right triangle

Yes the triangle is a right triangle because c2 = 676

Yes the triangle is a right triangle because c2 = 525




Please choose the right answer

a2 + b2 = c2

a2 + b2 = 102 + 242 = 100 + 576 = 676

And

c2 = 262 = 676

Yes the triangle is a right triangle?NEXT

a2 + b2 = c2

The answer is wrong, please try again.

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a2 + b2 = c2

Identifying any missing leg

To calculate any missing leg of a right triangle we use the same equation with

different formula. We use subtract to find the value of the missing leg for

Example:

a2 + b2 = c2

92 + b2 = 152

81 + b2 = 225

225 - 81 = b2

b2 = 144

b = √144

b = 12




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a2 + b2 = c2

Practice 2

in this triangle what is the value of b?

a2 + b2 = c2

42 + b2 = 52

b2 = 52 _ 42

A 4

B

C 5




b = 4 b = 3

Please choose the right answer

a2 + b2 = c2

b2 = 15 _ 16

b2 = √9

b = 3

The answer is right

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A 4

B 3

C 5

a2 + b2 = c2

The answer is wrong, Please try again.

Go Back

a2 + b2 = c2

Review

Pythagorean Theorem is theory used to find side lengths of right

triangle.

The equation of the Pythagorean Theorem is a2 + b2 = c2

Right triangle is a triangle containing an angle of 90 degrees.

The hypotenuse of a right triangle is the triangle's longest side. Or it is

the side opposite the right angle.




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a2 + b2 = c2

Thank you




Developer’s name: Ahmed Fallatah 03/17/2013 ETEC 544 Instructor: Brian Newberry Start.

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