Pythagoras Theorem

 Pythagoras theorem is the important one which gives the relation between the three sides of the right angled triangle.
       This theorem was discoveredby a famous mathematician"PYTHAGORAS"


  Statement:

       In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the  other two sides.
           
           Let us consider ∆ ABC  with ∠C = 90⁰ ,      BC = a , CA = b and AB = c , then
               a² + b² = c²
       

Application:

   In  ∆ ABC ,  ∠ B = 90⁰ ,  AB = 18 cm and BC = 24 cm. Calculate the length of AC.

     Solution:          

           Given: 
                       ∠ B = 90⁰ ,  AB = 18 cm , BC = 24 cm.
            By Pythagoras Theorem,
                             AC² = BC² +  AB² 
                                     =18² + 24 ²  
                                     = 324 + 576
                               AC² =   900                
                       Therefore,   AC = 30 cm      

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