Presentation for chapter 9
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The document explains 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 two legs. Examples are provided to demonstrate calculating the length of one side of a right triangle given the other two sides. The distance formula is also explained as a way to calculate the length of one side of any triangle by squaring the differences between corresponding x- and y-coordinates of the triangle's vertices and summing the results. An example applies the distance formula to find the length between two points.
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Presentation for chapter 9
- 1. Pythagorean Theorem and Distance Formula By: Gilberto Suarez
- 2. Explanation of the Pythagorean theorem - Pythagorean theorem is a combination of algebra and geometry. - what the variables stand for: A = leg B = leg C = hypotenuse - the types of triangles the Pythagorean theorem uses is the right triangles
- 3. Examples on Pythagorean theorem A 2 + b 2 =c 2 15 2 + x 2 = 20 2 225 + x 2 = 400 -225 -225 x 2 = 175 x = 13.2 15 20 X
- 4. Distance formula - Distance formula is a formula you use to figure out how long one side of the triangle is. These are the step you need to take to figure it out: 1. Label the points 2. Put them in the distance formula 3. Do the math
- 5. Examples for the distance formula (x1- x2) 2 + (y1 – y2) 2 <-- this is the formula (-1-3) 2 + (4 – 1) 2 (2) 2 + (3) 2 4 + 9 13 = 3.60 (-1,4) (3,1)