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

a 2 + b 2 = c 2 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. NEXT

a 2 + b 2 = c 2 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. objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 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. objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 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. objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT A B c Press the action button to see how the equation is formulated

a 2 + b 2 = c 2 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. objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT feet What length of ladder do you need to reach the window?

a 2 + b 2 = c 2 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 objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 Example 1 Find the unknown length for the triangle Shown, A = 3, b =4 a 2 + b 2 = c 2 The square of a (a²) plus the square of b (b²) is equal to the square of c (c²) = = 25 C = 25 C = 5 ANSWER objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 Example 2 Find the unknown length for the triangle Shown, A = 3, b =4 a 2 + b 2 = c = c = c = c 2 c 2 = 169 c = √169 c = 13 ANSWER objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 Practice 1 Now it is your turn to solve this problem. Does the triangle with the given side lengths is a right triangle? Does a 2 + b 2 = c 2 ? No the triangle is not a right triangle Yes the triangle is a right triangle because c 2 = 676 Yes the triangle is a right triangle because c 2 = 525 objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle Please choose the right answer

a 2 + b 2 = c 2 a 2 + b 2 = = = 676 And c 2 = 26 2 = 676 Yes the triangle is a right triangle? NEXT

a 2 + b 2 = c 2 The answer is wrong, please try again. Go Back

a 2 + b 2 = c 2 The answer is wrong, please try again. Go Back

a 2 + b 2 = c 2 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: a 2 + b 2 = c b 2 = b 2 = = b 2 b 2 = 144 b = √144 b = 12 objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 Practice 2 in this triangle what is the value of b? a 2 + b 2 = c b 2 = 5 2 b 2 = 5 2 _ 4 2 A 4 B C 5 objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle b = 4b = 3 Please choose the right answer

a 2 + b 2 = c 2 b 2 = 15 _ 16 b 2 = √9 b = 3 The answer is right NEXT A 4 B 3 C 5

a 2 + b 2 = c 2 The answer is wrong, Please try again. Go Back

a 2 + b 2 = c 2 Review  Pythagorean Theorem is theory used to find side lengths of right triangle.  The equation of the Pythagorean Theorem is a 2 + b 2 = c 2  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. objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle NEXT

a 2 + b 2 = c 2 objectivesPythagoras Pythagorean Theorem Real Examples Example 1 Example 2Practice 1 Identifying any missing leg Practice 2Review Right triangle