Question

Given the points A(3,−2), B(2,−5), and C(4,−5), classify △ABC.(1 point)
Responses

It is an equilateral triangle.
It is an equilateral triangle.

It is a scalene triangle.
It is a scalene triangle.

​​​​​​It is a right triangle.
​​​​​​ It is a right triangle.

It is an isosceles triangle.

Answer 1

Isosceles.

Compute squared side lengths: AB^2 = (3−2)^2 + (−2+5)^2 = 1 + 9 = 10, AC^2 = (3−4)^2 + (−2+5)^2 = 1 + 9 = 10, BC^2 = (2−4)^2 + (−5+5)^2 = 4 + 0 = 4. Since AB = AC ≠ BC, △ABC is isosceles.