The answer is: [A]: "6" . ________________________________________________________ Explanation: ________________________________________________________
Using the Pythagorean theorem to solve for the hypotenuse of a right triangle:
a² + b² = c² ;
in which "c" is the length of the "hypotenuse" (for which we are to solve); & "a" and "b" are the lengths of the other 2 (two) sides.
In this case, "a" and "b" are "equal lengths" ;
that is: a = b = 3√2 ;
So "(3√2)² + (3√2)² = c² " ; Solve for "c" ;
↔ c² = (3√2)² + (3√2)² ;
→ c² = 2*(3√2)² = 2 * (3²) * (√2)² ;
= 2 * 9 * 2 ;
= 18 * 2 = 36 ;
→ c² = 36 ;
Take the positive square root of each side of the equation ; to isolate "c" on one side of the equation ; & to solve for "c" (the length of the hypotenuse);
→ +√(c²) = +√36 ; ______________________________________________________ →c = 6 ; which is: "Answer choice: [A]: "6" . _______________________________________________________
