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(Solved): 7. The points A(1,1,1),B(2,0,3), and C(3,3,4) are vertices of a triangle. a. Show that this t ...




7. The points \( A(-1,1,1), B(2,0,3) \), and \( C(3,3,-4) \) are vertices of a triangle.
a. Show that this triangle is a righ
7. The points , and are vertices of a triangle. a. Show that this triangle is a right triangle. b. Calculate the area of triangle . c. Calculate the perimeter of triangle . d. Calculate the coordinates of the fourth vertex that completes the rectangle of which , and are the other three vertices.


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Solution:

Given vertices of a triangle are   
  
  
  
Lengths of sides
  
  
  

(a).   
Thus   
   Given vertices form a right-angled triangle
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