The triangular distribution is a continuous distribution shaped like a triangle defined by a minimum value (a), a maximum value (b), and a mode (c) — the value where the peak occurs. Its shape is piecewise linear, rising from the minimum to the mode, then falling to the maximum.
Analysts often use this distribution in project management, simulation, and risk analysis when limited data are available but a rough estimate of minimum, maximum, and most likely values is known. It is simple and intuitive, making it a good choice for early-stage modeling.
For example, in estimating the time to complete a project task, an analyst might use a triangular distribution with a minimum of 3 days, a mode of 5 days, and a maximum of 9 days. The graph below displays this distribution.
