Come up with three different points A, B, C (write down their coordinates in 2D) that form a triangle ABC. Each point needs to be in a different quadrant of the coordinate system. a. Write down the equations of lines on which the sides of the triangle ABC lie. b. Write down the equation of the height on side AB. c. Find the coordinates of the orthocenter (the point where the three heights of a triangle intersect). d. Write the equation of a circumscribed circle to this triangle (the center of the circle is the point of intersection of perpendicular bisectors of all sides of the triangle).

Come up with three different points A, B, C (write down their coordinates in 2D) that form a triangle ABC. Each point needs to be in a different quadrant of the coordinate system. a. Write down the equations of lines on which the sides of the triangle ABC lie. b. Write down the equation of the height on side AB. c. Find the coordinates of the orthocenter (the point where the three heights of a triangle intersect). d. Write the equation of a circumscribed circle to this triangle (the center of the circle is the point of intersection of perpendicular bisectors of all sides of the triangle).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

1. Come up with three different points A, B, C (write down their coordinates in 2D) that form a triangle ABC. Each
point needs to be in a different quadrant of the coordinate system.
a. Write down the equations of lines on which the sides of the triangle ABC lie.
b. Write down the equation of the height on side AB.
c. Find the coordinates of the orthocenter (the point where the three heights of a triangle intersect).
d. Write the equation of a circumscribed circle to this triangle (the center of the circle is the point of
intersection of perpendicular bisectors of all sides of the triangle).

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