If the amplitude and wavelength of the three waves (sine wave, square wave, and triangular wave) are equal, the sine wave will have the longest curve.
The sine wave is a smooth, continuous wave that represents a pure tone. It has a curved shape that smoothly transitions between positive and negative values. The curve of a sine wave extends from the peak of one cycle to the peak of the next cycle.
On the other hand, the square wave consists of alternating high and low levels, with instantaneous transitions between them. It has a sharp, discontinuous shape, where the waveform abruptly changes from maximum to minimum value and vice versa. The curve of a square wave extends from one transition point to the next transition point.
The triangular wave, as the name suggests, has a triangular shape. It smoothly ramps up from minimum to maximum value and then ramps down back to the minimum value. The curve of a triangular wave extends from the start of the ramp to the end of the ramp.
Comparing these three waveforms, the sine wave has the longest curve because it transitions smoothly between its positive and negative values, covering the entire range of the waveform. The square wave has shorter curves as it transitions instantaneously between its high and low levels. The triangular wave falls in between the sine and square waves in terms of curve length since it ramps up and down, but its curve length is shorter than that of the sine wave.
In summary, if the amplitude and wavelength are equal, the sine wave will have the longest curve among the sine, square, and triangular waves.