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4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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Answer:
<h2>x = 9 1/3</h2>Step-by-step explanation:
To do this, we need to do a few things. I'll put the steps separate so you can easily understand.
<h3>Step 1: Set up a proportion</h3>6x = 14 x 4
6x = 56
6x = 9 1/3
<h3>Step 3: Check</h3>Cross multiply to check if they equal
6 x 9 1/3 = 14 x 4
56 = 56 ✔
<h3>Step 4: Answer</h3>x = 9 1/3
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