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).

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 1CT

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Similar questions

In the coordinate system provided, give the coordinates of a point A in the form x,y. a point B in the form x,y.
If x ¡s positive and y is negative, then the point (x , y) is in Quadrant ____________.

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