An altitude in a triangle is a line segment from a vertex to the opposite side that is perpendicular to that side.

In this diagram, the dashed line segments show the altitude of each triangle.

A dilation is a transformation that can reduce or enlarge a figure.

A dilation with center \(P\) and positive scale factor \(k\) takes a point \(A\) along the ray \(PA\) to another point whose distance is \(k\) times farther away from \(P\) than \(A\) is.

Triangle \(A'B'C'\) is the result of applying a dilation with center \(P\) and scale factor 3 to triangle \(ABC\).