Question

pe = 2 and tp = 5. find te.

Explanation:

Step1: Recall the relationship between segments

In a triangle, if \(P\) is the orthocenter (the point where the altitudes intersect), and \(PE\perp VT\), \(TP\) is part of the altitude from \(T\) to \(VU\). We know that \(TE = TP+PE\) (by the segment - addition postulate).

Step2: Substitute the given values

Given \(PE = 2\) and \(TP=5\). Substitute these values into the formula \(TE=TP + PE\). So \(TE=5 + 2\).

Answer:

\(TE = 7\)