Step-by-step explanation:
come on !
this is a right-angled triangle.
Pythagoras applies (that is truly famous and you need to "burn" this into your head for life, as this will apply many times in your life) :
a² + b² = c²
with c being the Hypotenuse (the side opposite of the 90° angle).
so, we have here
14² + 48² = c²
196 + 2304 = c²
2500 = c²
c = sqrt(2500) = 50
so the direct drive to the water park would have been 50 miles.
but because of the detour they drove 14+48 = 62 miles.
the direct trip would have been 62-50 = 12 miles shorter.
