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Which statement best describes the triangle formed by joining the points A(-3,6),B(-11,2),C(-4,-2)

Sagot :

Answer:

Isosceles triangle

Step-by-step explanation:

Length of side AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                              = [tex]\sqrt{(-11+3)^2+(2-6)^2}[/tex]

                              = [tex]\sqrt{64+16}[/tex]

                              = [tex]\sqrt{80}[/tex]

                              = 4[tex]\sqrt{5}[/tex]

Length of BC = [tex]\sqrt{(-4+11)^2+(-2-2)^2}[/tex]

                      = [tex]\sqrt{49+16}[/tex]

                      = [tex]\sqrt{65}[/tex]

Length of AC = [tex]\sqrt{(-3+4)^2+(6+2)^2}[/tex]

                      = [tex]\sqrt{1+64}[/tex]

                      = [tex]\sqrt{65}[/tex]

Since, AC = BC, ΔABC will be an isosceles triangle.