Question

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

Answer 1

Olá!!

Resolução!!

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

___ ````_________________
AB = √( x1 - x2 )² + ( y1 - y2 )²
___ ````_________________
AB = √( 1 - 4 )² + ( - 1 - ( - 5 ))²
___ ````_______________
AB = √( 1 - 4 )² + ( - 1 + 5 )²
___ ````_________
AB = √( - 3 )² + 4²
___
AB = √9 + 16
___
AB = √25
___
AB = 5

___ `````_________________
BC = √( x1 - x2 )² + ( y1 - y2 )²
___ `````__________________
BC = √( 4 - ( - 3 ))² + ( - 5 - 2 )²
___ `````________________
BC = √( 4 + 3 )² + ( - 5 - 3 )²
___ ```_________
BC = √7² + ( - 8 )²
___ ```_______
BC = √49 + 64
____
BC = √113

___ `````_________________
AC = √( x1 - x2 )² + ( y1 - y2 )²
___ `````_________________
AC = √( 1 - ( - 3 ))² + ( - 1 - 2 )²
___ `````_______________
AC = √( 1 + 3 )² + ( - 1 - 2 )²
___
AC = √4² + ( - 3 )²
___ `````______
AC = √16 + 9
___
AC = √25
___
AC = 5

P = AB + BC + AC
P = 5 + √113 + 5
P = 10 + √113

R = O Perímetro é 10 + √113

Espero ter ajudado;!