Question

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

Answer 1

Salut!

$MN= \sqrt{ {(5 - ( - 3))}^{2} + {(2 - 2)}^{2} }$

$MN = \sqrt{ {(5 + 3)}^{2} + {0}^{2} }$

$MN= \sqrt{ {8}^{2} }$

$MN = 8$

$NP = \sqrt{ {(1 - 5)}^{2} + {(6 - 2)}^{2} }$

$NP = \sqrt{ {( - 4)}^{2} + {4}^{2} }$

$NP = \sqrt{ {16}^{2} + {16}^{2} }$

$NP = \sqrt{256 + 256}$

$NP = \sqrt{512}$

$MP = \sqrt{ {(1 - ( - 3))}^{2} + {(6 - 2)}^{2} }$

$MP = \sqrt{ {( - 4)}^{2} + {4}^{2} }$

$MP = \sqrt{ {16}^{2} + {16}^{2} }$

$MP = \sqrt{256 + 256}$

$MP = \sqrt{512}$

MP = NP ==> MNP triunghi isoscel✅