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LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM

LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM. Learning Outcome: Learn to use the Pythagorean Theorem to identify right triangles. Example:. How can we identify right angle triangles if the right angle symbol is not indicated? Is this a right angled triangle?. 10cm. 8cm. 6cm. Reminder:.

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LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM

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  1. LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM Learning Outcome: Learn to use the Pythagorean Theorem to identify right triangles.

  2. Example: How can we identify right angle triangles if the right angle symbol is not indicated? Is this a right angled triangle? 10cm 8cm 6cm

  3. Reminder: The Pythagorean Theorem states that when we have a right angle triangle and we are trying to find an unknown side length, using the formula a2 + b2 = c2 will allow us to find an unknown side length. c2 a2 b2

  4. We can use this information to identify a right angle triangle. If 3 side lengths are given, we add the square of both side lengths and if they equal the square of the hypotenuse we have a right triangle. Another way of saying this is that if the sum of the left side of the equal sign equals the right side of the equal sign, we have a right angled triangle.

  5. Solving the Example Question LS RS = = = = RS = 100 and LS = 100, therefore it is a right-angled triangle.

  6. Recall: There are 3 types of triangles: • Acute – where all angles in the triangle are less than 90o • Right – one of the angles in the triangle measures 90o • Obtuse – at least one of the angles in the triangle is more than 90o and less than 180o

  7. Connect – textbook page 40 The acute, right and obtuse triangles in the diagrams have squares drawn on the sides of each triangle. Notice that when you compare the sum of the areas of the two smaller squares to the area of the largest square for each triangle, the Pythagorean Theorem only works for the right triangle.

  8. Pythagorean Triplet When the left side equals the right side of the equals sign, we call this a triplet or triad of Pythagorean (Pythagorean Triplet)

  9. When do you not have a Triplet? Example: 17, 22 and 39

  10. Practice • Assignment: pg. 43-45 #3-15 Remember to attempt your quiz when you are done the lesson to test your understanding of the concepts

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