1. The length of GZ is of 9 units.
2. The length of OT is of 9.6 units.
What is the orthocenter of a triangle?
Before understanding the concept of the orthocenter, we need to understand the concept of the altitude lines of the triangle, which are the three lines that are traced from the midpoint of two vertices to the third vertices.
Hence, the altitude lines of the triangle are listed as follows:
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle, and in this problem, the orthocenter is given by point Z, which splits all the segments in the problem in half.
Thus the measures are given as follows:
- GZ = 9 units, as Z is the midpoint of GU and and GU = 18 units.
- OT = 9.6 units, as Z is the midpoint of OT and ZT = 4.8 units.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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