Maths final PPT.ppt
- 1. Name – Shalu Tomar Class – B.Ed. Second Year Subject – Mathematics College – Greater Noida Institute of Business Management.
- 2. The Pythagorean Theorem A tool for right triangle problems only
- 3. When do I need to use the Pythagorean Theorem ? When I know: length of 2 sides And Need to know: length of 3rd side
- 4. What is the Pythagorean Theorem? a2 b2 c2 Where a and b are legs and c is the hypotenuse
- 5. Using a2 + b2 = c2 Looking for length of the hypotenuse a2 + b2 = c2 152 + 202 = c2 225 + 400 = c2 625 = c2 625 c2 25 c
- 6. Using a2 + b2 = c2 Looking for length of A leg a2 + b2 = c2 62 + b2 = 102 36 + b2 = 100 -36 -36 b2 = 64 b = 8
- 8. A 15 foot ladder leans up against a building. The foot of the ladder is 5 feet from the base of the building. How high up the wall, to the nearest foot does the ladder reach? Draw a picture:
- 9. Solving the problem a2 + b2 = c2 Write formula x2 + 52 = 152 Substitute in x2 + 25 = 225 Solve for x - 25 -25 x2 = 200 x = 14.142135 Check: How am I to leave my answer? x 200 The ladder reaches 14 feet up the wall.
- 10. Wrapping It UP The Pythagorean Theorem can be used only on _____triangles. When should the Pythagorean Theorem be used? What should be done first when solving a word problem involving the Pythagorean Theorem? What must be done before writing the answer to a Pythagorean Theorem problem? Right When the length of 2 sides are known and the length of 3rd side is needed Draw and label triangle Check to see whether the answer should be rounded or not