## 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