Question

Calcule o perímetro do triângulo ABC dados A( -1;3)B(2;2)C(3;-2)

Answer 1

A( -1;3) , B(2;2) ;  C(3;-2)

D= V(x1-x2)² + (y1-y2)²
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A( -1;3) , B(2;2)

Dab = V(-1-2)² + (3-2)² ==> V9+1 ==> V10
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A( -1;3)  C(3;-2)

Dac = V(-1-3)² + (3-(-2))² ==> V16+25 ==> V41
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 B(2;2) ;  C(3;-2)

Dbc = V(2-3)² + (2-(-2))² ==> V1+16 ==> V17
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P = Dab+Dac+ Dbc

P = V10 + V41 + V17

P = 1,77 + 6,40 + 4,12

P = 12,29