Why do waves with high frequencies have short wavelengths

The relationship between the wavelength and the frequency of a wave comes from the equation:

v = λ*f

Where v is the velocity of the wave, λ is the wavelength and f is the frequency.

So if we keep the velocity constant, you can see that if we decrease the wavelength, then the frequency must increase (to contrast the decrease in the other variable)

And the same in the other direction, if the wavelength increases, then the frequency must decrease.

So for a fixed velocity, as highest is the frequency, lower will be the wavelength.

v=ir = 3x15 =45 v