SOLUTION: Given points A(0,0) B(4,8) and C(6,2) are the vertices of triangle ABC. A. Show that triangle ABC is an isosceles triangle B. Find the coordinates of D , the midpoint of the base

Question 397907: Given points A(0,0) B(4,8) and C(6,2) are the vertices of triangle ABC.
A. Show that triangle ABC is an isosceles triangle
B. Find the coordinates of D , the midpoint of the base.
C. Show that CD is perpendicular to AB
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi, previously posted.

 

A. Show that triangle ABC is an isosceles triangle

B(4,8) and C(6,2)                       A(0,0) and C(6,2)

distance AB = = distance AC = 



B. Find the coordinates of D , the midpoint of the base AB

A(0,0) and B(4,8)

Midpoint(, ) (4/2,8/2) OR PT(2,4)



C. Show that CD is perpendicular to AB

 m of CD = 

 m of AB = 8/4 = 2

 SLOPES negative reciprocals, lines perpendicular

 

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