Question 64196
The lenght of the hypotenuse of a right angeled triangle is determined by using the Pythagoras Theorem. 

The Pythagoras Theorem states that " the square of the hypotenuse is equal to the sum of the squares of the other two sides". 

Hence if the sides of the triangle are represented by a, b, c where c is the hypotenuse, then by the theorem:

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


By data, we have,


a = 9, b = 6 and to find c = ? 


Substitute the values of a and b in the above formula. Hence, we get: 


{{{(9)^2 + (6)^2 = c^2}}}


{{{81 + 36 = c^2}}}


{{{117 = c^2}}} 


Hence, taking the square root, we get: 


c = 10.8166


rounding off, we get: 


c = 10.82 


Happy calculating!!!!