GRE Quantitative Concepts

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 Author: Anonymous ID: 59371 Filename: GRE Quantitative Concepts Updated: 2011-01-12 10:58:29 Tags: GRE Folders: Description: Math concepts Show Answers:

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1. Acute triangles
a^2 + b^2 is greater than c^2

c is the longest side of the triangle
2. Obtuse triangles
a^2 + b^2 is less than c^2

• c is the longest side

100 + 289 is less than 441
3. Right triangles
a^2 + b^2 = c^2

c is the longest side

9 + 16 = 25

25 + 144 = 169
4. More right triangle facts
for any positive number x, there is a right triangle whose sides are 3x, 4x, and 5x

ie x=pi

3pi, 4pi, and 5pi
5. 45-45-90 right triangle side lengths
• sides are x, x, and x√2
6. 30-60-90 right triangle
7. sides are x, x√3, and 2x
8. Triangle inequality

The sum of the lenghts of nay two sides is _______ than the length of the third side
Greater
9. Equalateral triangle formula
• Area = (s^2 √3)/4

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