This might be an easy question, but since i'm new to solid shapes, i couldn't solve it. A =

April Bush

April Bush

Answered question

2022-06-18

This might be an easy question, but since i'm new to solid shapes, i couldn't solve it. A = ( 7 ,   1 ,   3 )   B = ( 5 ,   1 ,   2 )   C = ( 4 ,   2 ,   3 )   D = ( 6 ,   m ,   n ) I need to find m and n so that segments BD and AC have the smae midpoint.

Answer & Explanation

drumette824ed

drumette824ed

Beginner2022-06-19Added 19 answers

Step 1
The midpoint of A C has coordinates:
M A C = ( x A + x C 2 , y A + y C 2 , z A + z C 2 ) = ( 11 2 , 1 2 , 3 )
In the same way,the midpoint of B D has coordinates:
M C D = ( 11 2 , 1 + m 2 , 2 + n 2 )
so we want:
1 + m 2 = 1 2 2 + n 2 = 3
two equations for two unknowns.

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