Question

Calcule a distância entre os pontos A(3,8) e B(8,20)

Answer 1

Resposta:

D=13

Explicação passo-a-passo:

D=√(∆x)²+(∆y)²

D=√(3-8)²+(8-20)²

D=√(-5)²+(-12)²

D=√25+144

D=√169

D=13

Answer 2

$\large\boxed{\begin{array}{l} \sf{d_{AB }=\sqrt{(x_{A} -x_{B})^{2}+(y_{A} -y_{B})^{2}}} \\ \sf{d_{AB } = \sqrt{(3 - 8) {}^{2} + (8 - 20) {}^{2} } } \\ \sf{d_{AB } = \sqrt{( - 5) {}^{2} + ( - 12) {}^{2} } } \\ \sf{d_{AB } = \sqrt{25 + 144} } \\ \sf{d_{AB } = \sqrt{169} } \\ \huge\boxed{ \boxed{ \boxed{ \boxed{ \sf{d_{AB } = 13}}}}}\end{array}}$