**Pythagorean Theorem**

In any triangle, ,
where <C is 90^{o}:

c

^{2}= a^{2}+ b^{2}

**Trigonometry**

sinC =

opposite

hypotenuseIn any triangle, ,

c

^{2}= a^{2}+ b^{2}- 2ab cosC

**Coordinate Geometry**

The distance between two points A(x

_{1}, y_{1}) and B(x_{2}, y_{2}) is:The midpoint of the line segment joining two points A(x

_{1}, y_{1}) and B(x_{2}, y_{2}) isThe slope of the line joing two points A(x

_{1}, y_{1}) and B(x_{2}, y_{2}) is

Remember:

slope =

rise

runtherefore:

Equations of linesy = mx + b y

_{2}- y_{1}= m(x_{2}- x_{1})

Conversions

1 mile = 1760 yards

= 5280 feet1 yard = 3 feet

= 36 inches1 foot = 12 inches

1 mile = 1.609 km

1 yard = 0.9144 m

1 inch = 2.54 cm

1 cm = 0.393 inch

1 km = 1000m

1 m = 100 cm

1 cm = 10 mm

Geometry

notesPerimeterAreanotesCircle C = 2

rTriangle

P = s_{1}+ s_{2}+ s_{3}Parallelogram

P = 2b + 2cTrapezoid

P = b_{1}+ b_{2}+ c + dCircle

A= r^{2}Triangle

Parallelogram

Trapezoid

notesSurface AreaVolumenotesSphere SA = 4r

^{2}CylinderSA = 2r

^{2}+ 2hCone SA = r

^{2}+ sSphere

V =4/3r^{3}Cylinder

V =r^{2}hPrism V = Bh, where

Bis the area

of the base

ConePyramid , where

Bis the area

of the base