Chapter 5 unit 9
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The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula calculates the distance between two points and involves taking the difference of the x-coordinates squared and the difference of the y-coordinates squared and adding those values together. Examples of using both the Pythagorean theorem and distance formula are provided.
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Chapter 5 unit 9
- 1. Pythagorean Theorem & Distance Formula Laquanda Baker
- 2. What is Pythagorean Theorem? It's a mathematical term used to find a hypotenuse of a triangle.
- 3. A^2 + B^2 = C^2
- 4. We use a right angle triangle
- 5. The variables stand for the sides of the right triangle
- 6. A and B stands for the legs on the triangle
- 7. C stands for the hypotenuse which is the longest side of the 90* angle triangle
- 8. Pythagorean Theorem Example A^2 + B^2 = C^2
- 9. 4^2 + 12^2 = X^2
- 10. 16 + 144= 160
- 11. Square root of the total 4 12 X
- 12. Distance Formula It's the distance between any two points.
- 13. Distance Formula= (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2
- 14. Ex: 1,4- 10,16
- 15. (10^2 – 1^2) + (16^2 – 4^2)
- 16. 9^2 + 12^2
- 17. 81 + 144 = 225
- 18. Square root of 225 is 15
- 19. Examples (-1, 4) & (1, 3)
- 20. Remember : (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2
- 21. (4 - 3)^2 + (-1 – 1)^2
- 22. 1^2 + -2^2
- 23. 1 + -4
- 24. No square root of -3