Question

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

Answer 1

Answer:

Isosceles triangle

Step-by-step explanation:

Length of side AB = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

                              = $\sqrt{(-11+3)^2+(2-6)^2}$

                              = $\sqrt{64+16}$

                              = $\sqrt{80}$

                              = 4$\sqrt{5}$

Length of BC = $\sqrt{(-4+11)^2+(-2-2)^2}$

                      = $\sqrt{49+16}$

                      = $\sqrt{65}$

Length of AC = $\sqrt{(-3+4)^2+(6+2)^2}$

                      = $\sqrt{1+64}$

                      = $\sqrt{65}$

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