geometry
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sum of interior angles
(n2)180

number of diagonals of any polygon is:
n(n3)/2

pythagorean theorem
a^{2 }+ b^{2 }= c^{2}

special right triangles
 345
 6810
 121620
 52025
 51213
 102426
 81517
 72425

the presence of long legs in a right triangle signifies that...
the missing side should be determined by the means of x^{2}  y^{2 }= (x+y)(xy)

special right triangle 454590
the legs have ratio
x:x:x(sq root)

If the legs of a right triangle are equal
the triangle is necessarily a 454590

306090 triangle has angles
x: x( cubed root): 2x

if the length of the hypotenuse of a right triangle doubles the length of one of its legs...
it is a 306090

how many 306090 triangles are in a hexgon?
twelve

in similar triangles the ratio of the areas of two similar triangles is equal to...
the square of the ratio of the corresponding sides

area of a triangle
1/2 * base * height

area of rectangle and square
length * width

area of parallelogram or rhombus
base times height

area of a rhombus as well is...
diagonal 1 * diagonal 2/ 2

area of a trapezoid
base 1 * base 2 / 2 * height

area of a circle
pie * r^{2}

circumference of a circle
2pie *r

circumference of a circle
2 * pie * r or pie * d
pie = 22/7

length of an arc
2 * pie * r * x/360

length of a sector of a circle
pie * r^{2} * x/ 360

Inscribed angle properties
 1. the inscribed angle of an arc is always half the measure of its central angle
 2. inscribed angles drawn to the same arc have equal measures.
 3. the inscribed angles of equal measure have arcs of equal length and arcs of equal length have inscribed angles of equal measure.

inscribed and circumscribed polygons
 1. an inscribed or circumscribed polygon always has the same center as the circle.
 2. is a triangle is inscribed in a circle so that one of its sides is the diameter of the circle then that triangle is always a right triangle.

volume of rectangular solid
length * wideth * height

surface area of rectangular solid
2 (lw +wh+ hl) or sum of the area of its faces.

diagonal of rectangular solid...
square root of l^{2 } + w^{2 }+ h^{2 }





diagonal of a cube
s square root of 3

volume of a cylinder
pie *r^{2} * height

surface area of a cylinder
2 * pie * r * h + 2 (pie * r^{2})