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Se dau punctele M(-3;2),N(5;2) si P (1;6) aratati ca triunghiul MNP este isoscel ​

Răspuns :

Salut!

[tex]MN= \sqrt{ {(5 - ( - 3))}^{2} + {(2 - 2)}^{2} } [/tex]

[tex]MN = \sqrt{ {(5 + 3)}^{2} + {0}^{2} } [/tex]

[tex]MN= \sqrt{ {8}^{2} } [/tex]

[tex]MN = 8[/tex]

[tex]NP = \sqrt{ {(1 - 5)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex]NP = \sqrt{ {( - 4)}^{2} + {4}^{2} } [/tex]

[tex]NP = \sqrt{ {16}^{2} + {16}^{2} } [/tex]

[tex]NP = \sqrt{256 + 256} [/tex]

[tex]NP = \sqrt{512} [/tex]

[tex]MP = \sqrt{ {(1 - ( - 3))}^{2} + {(6 - 2)}^{2} } [/tex]

[tex]MP = \sqrt{ {( - 4)}^{2} + {4}^{2} } [/tex]

[tex]MP = \sqrt{ {16}^{2} + {16}^{2} } [/tex]

[tex]MP = \sqrt{256 + 256} [/tex]

[tex]MP = \sqrt{512} [/tex]

MP = NP ==> MNP triunghi isoscel✅