Theorems
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\sqrt{(\ -11)^2 + (+5)^2} = | \sqrt{(\ -11)^2 + (+5)^2} = | ||
- | + | \sqrt{(\ 121 + 25} = \sqrt{146}</math> | |
- | </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 22:53, 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
Substituting we have
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