Answer: The perimeter of the triangle is: "40" . _________________________________________________ Explanation: _________________________________________________ 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. _______________________
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 . ________________________________________________________ So the perimeter of the triangle = 8 + 15 + 17 = 40 . ________________________________________________________