Applied Math 10 Formula Sheet

Pythagorean Theorem

In any triangle, , where <C is 90o:

c2 = a2 + b2

Trigonometry

sinC =    opposite   
            hypotenuse

In any triangle, ,

c2 = a2 + b2 - 2ab cosC


Coordinate Geometry

The distance between two points A(x1, y1) and B(x2, y2) is:

The midpoint of the line segment joining two points A(x1, y1) and B(x2, y2) is

The slope of the line joing two points A(x1, y1) and B(x2, y2) is

Remember:

slope = rise
            run

therefore:

Equations of lines

y = mx + b                                    y2- y1 = m(x2- x1)

Conversions

1 mile = 1760 yards
          = 5280 feet

1 yard = 3 feet
          = 36 inches

1 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

Perimeter notes Area notes

Circle C = 2r

Triangle P = s1 + s2 + s3

Parallelogram P = 2b + 2c

Trapezoid P = b1 + b2 + c + d

Circle A = r2

Triangle

Parallelogram

Trapezoid

 

Surface Area notes Volume notes

Sphere SA = 4r2

CylinderSA = 2r2 + 2h

Cone SA = r2 + s

SphereV = 4/3r3

Cylinder V = r2 h

Prism V = Bh, where B is the area
of the base

Cone

Pyramid , where B is the area
of the base

 

Comments to:  Jim Reed - Homepage