Question

pls answer this question ​

Answer 1

Answer:

( -1, 7) ,  ( -5, -3 ) ,  ( 11, 5 )

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Step-by-step explanation:

Let A, B, C be the vertices of a triangle.

Using vector concepts, the midpoints on the sides are

D = ( B + C ) / 2

E = ( C + A ) / 2

F = ( A + B ) / 2

In this problem we are given D, E and F and need to find A, B and C.

So rearranging these equations give

A = E + F - D

B = F + D - E

C = D + E - F

These are the equations we need to use.

The given midpoints are

D = ( 3, 1 )    E = ( 5, 6 )    F = ( -3, 2 )

Then

A = E + F - D = ( 5 + (-3) - 3, 6 + 2 - 1 )  =  ( -1, 7 )

B = F + D - E = ( -3 + 3 - 5, 2 + 1 - 6 )  =  ( -5, -3 )

C = D + E - F = ( 3 + 5 - (-3), 1 + 6 - 2 )  =  ( 11, 5 )