The Backbone Of Structures

  Triangles 

 
 

 

Triangle Formula               

 

 

    Pythagoras Theorem                 
Explanation: A Greek mathematician named Pythagoras developed a formula, called the Pythagorean Theorem, for finding the lengths of the sides of any right triangle. He treated each side of a right triangle as though it were a square and discovered that the total area of the two smaller squares is equal to the area of the largest square. He wrote this discovery as a formula:

where c is the hypotenuse and a and b are the other two legs of the triangle.

To find the area of a triangle...   

...To find the area of a Equilateral triangle...

Base times Height divided by 2  

To find the perimeter of a triangle...

Heron's formula

 a + b + c    

triangle given SAS (two sides and the opposite angle)
= (1/2) a b sin C

triangle given a,b,c = sqrt[s(s-a)(s-b)(s-c)] when s = (a+b+c)/2

regular polygon = (1/2) n sin(360?n) S2
   when n = # of sides and S = length from center to a corner

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