Question

Calculați distanta dintre punctele:A(1,1),B(4,5);C(2,3),D(7,-9);M(4,8),N(-2,0)

Answer 1

   
[tex]d_{AB} = \sqrt{(4-1)^2+(5-1)^2}= \\ = \sqrt{3^2+4^2}= \sqrt{9+16}= \sqrt{25}= \boxed{5} \\ \\ d_{CD}= \sqrt{(7-2)^2+(-9-3)^2}= \\ = \sqrt{5^2+(-12)^2}= \sqrt{25+144}= \sqrt{169}= \boxed{13} \\ \\ d_{MN} = \sqrt{(4-(-2))^2+(8-0)^2}= \\ = \sqrt{6^2+8^2}= \sqrt{36+64}= \sqrt{100}= \boxed{10} [/tex]