Question

In a right triangle the legs have lenths of 8 and 15 what is the perimeter of this triangle

Answer 1

Answer:  The perimeter of the triangle is:  "40" .
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Explanation:
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The perimeter is the sum of the lengths of all sides ;
   which equals:  "8 + 15 + (length of hypotenuse) ,

We need to find the length of the hypotenuse in order the find the perimeter.
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c² = a² + b² ;

c² = 8² + 15² ;

in which "c" is the length of the hypotenuse;  

Solve for "c" .

+√(c²) = √(8² + 15²) ;

   c = √ (64 + 225) ;

   c = +√289 

   c = 17 .
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 So the perimeter of the triangle = 8 + 15 + 17 = 40 .
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