Triangles — Beyond the Basics
Triangle inequality: Sum of any two sides must be greater than the third side.
Similar triangles: Same shape, different size. Corresponding sides are proportional.
If triangle ABC is similar to DEF, then AB/DE = BC/EF = AC/DF
Pythagorean triples (memorize):
3-4-5 (and multiples: 6-8-10, 9-12-15)
5-12-13
8-15-17
7-24-25
Exterior angle theorem: An exterior angle equals the sum of the two non-adjacent interior angles.
SAT favorite: Two triangles sharing a side or angle, requiring you to set up a proportion from similar triangles.
Reference:
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