Applied Math 10 Formula Sheet

Pythagorean Theorem

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

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