Theorems
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<math>d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}</math> | <math>d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}</math> | ||
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+ | Example: Find the distance between point A(5,-7) and B(-6,-2) and leave your answer in radical form. | ||
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+ | Solution: Let A be point 1 and B be point 2. We have <math>x_1=5,y_1=-7, x_2=-6,y_2=-2</math> | ||
[[Media:Distance_&_Midpoint-9-2_ME.pdf|Distance & Midpoint 9-2 ME Worksheet]] | [[Media:Distance_&_Midpoint-9-2_ME.pdf|Distance & Midpoint 9-2 ME Worksheet]] |
Revision as of 22:38, 18 October 2009
The Distance Formula
Example: Find the distance between point A(5,-7) and B(-6,-2) and leave your answer in radical form.
Solution: Let A be point 1 and B be point 2. We have x1 = 5,y1 = − 7,x2 = − 6,y2 = − 2
Distance & Midpoint 9-2 ME Worksheet
Sum of the Sides of a Triangle
Thm: The sum of two sides of any triangle must be greater than the third side
Example: Given two sides of a triangle are 8 inches and 11 inches, find all the possible lengths of the third side (also known as S3)
Solution: We know that 8 + 11 must be greater than S_3