Answer: The perimeter of the triangle is: "40" .
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Step-by-step 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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