Solve the problem.
-Find the length of each side of the triangle determined by the three points

\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 }

, and

\mathrm { P } _ { 3 }

. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.

\mathrm { P } _ { 1 } = ( - 5 , - 4 ) , \mathrm { P } _ { 2 } = ( - 3,4 ) , \mathrm { P } _ { 3 } = ( 0 , - 1 )

\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }

neither
B)

\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }

right triangle
C)

\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }

both
D)

\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }

isosceles triangle

Find an Equation for the Line with the Given Properties y=−3x+4y = - 3 x + 4y=−3x+4

Multiple Choice