Question

Am nevoie de ajutor urgent la matematica !!

Answer 1

Explicație pas cu pas:

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

$AB = \sqrt{ {(1 - 2)}^{2} + {(3 - ( - 1))}^{2} } = \sqrt{ {( - 1)}^{2} + {4}^{2}} = \sqrt{1 + 16} = \sqrt{17}$

$BC = \sqrt{ {(2 - 3)}^{2} + {( - 1 - 5)}^{2} } = \sqrt{ {( - 1)}^{2} + {( - 6)}^{2} } = \sqrt{1 + 36} = \sqrt{37}$

$AC = \sqrt{ {(1 - 3)}^{2} + {(3 - 5)}^{2} } = \sqrt{ {( - 2)}^{2} + {( - 2)}^{2} } = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

$P = AB + BC + AC = \sqrt{17} + \sqrt{37} + 2 \sqrt{2}$