Pythagorean theorem
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The document summarizes the Pythagorean theorem and distance formula. It states that the Pythagorean theorem equation is a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse. An example problem demonstrates solving for the missing side of a right triangle. The distance formula is defined as the square root of (x2-x1)^2 + (y2-y1)^2, and a worked example finds the distance between two points.
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Pythagorean theorem
- 1. Elgin Newosn Math Pd:7 PYTHAGOREAN THEOREM
- 2. What is Pythagorean Theorem, and what do the variables stand for? Pythagorean Theorem has an equation that goes along with it. a^2+ b^2=c^2 The variables stand for the two legs (a^2 and b^2) and the c^2 is the hypotenuse. The hypotenuse is always c^2. You use a right triangle for this equation
- 3. Example on how to solve the problem 3 5 x 3^2+x^2=5^2 x 9+x^2=25 x -9 -9 Square root of 16= 4
- 4. What is distance formula? Square root of (x2-x1)^2+(y2-y1)^2 is the equation for the distance formula To solve a distance formula problem you do 3 simple steps 1. Label the points 2. Put them into the distance formula 3. Do the math
- 5. Example of the distance formula problem (3,2) and (6,4) x1 y1 x2 y2 (6-3)^2+(4-2)^2 3^2+2^2 9+4 13 Square root of 13= 3.60