Question

please answer it fast ​

Answer 1

Answer:

Proved BC = 2MN

Step-by-step explanation:

The vertices of an triangle abc area A(-3,2) B(-1,-4)and C(-5,2).if M and N are the midpoint of AB and AC respectively,show that 2MN is equal to BC​

A(-3,2) B(-1,-4)C(-5,2)

M mid point of AB

M = ( -3 + (-1))/2  , (2 + (-4))/2 = ( -2 , -1)

N mid point of AC

N = ( -3 + (-5))/2  , (2 + 2)/2 = ( -4 , 2)

MN = √( (-2 -(-4))² + (-1 -2)²) = √ (4 + 9) =√13

BC= √( (-5 -(-1))² + (2 -(-4))²) = √(16 + 36) = √52 = 2√13

BC = 2MN

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