Question

sa se stabileasca natura triungh ABC stind a)A(-2;-1) ,B(4;-1) ,C (1;5) ,

Answer 1

A (-2;-1)
B (4;-1)
C (1;5)
AB=$\sqrt{( x_{B}- x_{A})²+( y_{B} - y_{A} )²}$
AB=$\sqrt{[4-(-2)]²+[-1-(-1)]²}$
AB=$\sqrt{ 6^{2}+ 0^{2} }$
AB=$\sqrt{36}$
AB=6

BC=$\sqrt{ (x_{C}- x_{B} )+( y_{C} - y_{B} )$
BC=$\sqrt{(1-4)²+[5-(-1)]²}$
BC=$\sqrt{(-3)²+6²}$
BC=$\sqrt{9+36}$
BC=√45
BC=3√5

AC=$\sqrt{ (x_{C}- x_{A}) +( y_{C}- y_{A} ) }$
AC=$\sqrt{[1-(-2)]²+[5-(-1)] ²}$
AC=$\sqrt{ 3^{2}+ 6^{2} }$
AC=$\sqrt{9+36}$
AC=√45
AC=3√5

AB≠BC=AC⇒ΔABC-isoscel