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The tic-tac-toe method for solving problems involving similar triangles

The tic-tac-toe method for solving problems involving similar triangles. Click for next slide. Look at Worked examples 13 & 14 on page 149 of your textbook Maths Quest 9. They show two different ways of solving the same problem.

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The tic-tac-toe method for solving problems involving similar triangles

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  1. The tic-tac-toe method for solving problems involving similar triangles Click for next slide

  2. Look at Worked examples 13 & 14 on page 149 of your textbook Maths Quest 9. They show two different ways of solving the same problem. This PowerPoint shows a different way to solve this problem. It is called the tic-tac-toe method. Click for next slide

  3. A 1.5 metre pole casts a shadow 3 metres long, as shown (in textbook). Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  4. Start by drawing a tic-tac-toe (noughts & crosses) grid and place an X in the middle. Click for next slide

  5. Complete the table by reading the problem. First find what you want to find out (X).

  6. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  7. Now find the other object in the problem

  8. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  9. Now find the other feature of the two objects

  10. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  11. Now fill in the grid with the information you are given in the problem

  12. A 1.5 metre polecasts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  13. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  14. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day.

  15. A 1.5 metre pole casts a shadow 3 metres long, as shown. Find the height of a building that casts a 15 metres long shadow at the same time of the day. Click for next slide

  16. x 5 Use the shadow lengths to find the scale factor Building : Pole = 15 : 3 = 5 : 1 So the shadow of the building is 5 times bigger than the shadow of the pole Click for next slide

  17. x 5 Now multiply the pole heightby the scale factorto find X the height of the building Click for next slide

  18. X = scale factor x 1.5 = 5 x 1.5 = 7.5 So the height of the building is 7.5 metres Click to view slide show again

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