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.
<h3>Missing Information</h3>
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:
It is B
Step-by-step explanation: n is -1.5 and m is 2.5
-1.5 + 2.5 = 2
Answer:
50% of what number is 11.72 = 23.44
Step-by-step explanation:
50% is half, so simply doube it.
The equation of the median in standard form is; 9y - 38x = 179.
<h3>What is the equation of the media in standard form?</h3>
It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).
The equation of the median which is the line joining points A and D is therefore determined as follows;
Slope = (-35-3)/(-13-(-4)) = 38/9
38/9 = (y-3)/(x+4)
9y -27 = 38x + 152
9y - 38x = 179.
Read more on equation of a line;
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Answer:
∠1 = 66°
Step-by-step explanation:
∠1 + ∠3 = ∠4 (exterior angle theorem)
∠1 + 57° = 123°
∠1 = 66°
