Question

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. R(1, 3), S(3, 1), T(5, 2)

Answer 1

The length of a segment, given the extremities, is:
√[(x₂ - x₁)² + (y₂ - y₁)²]

Therefore:

RS = √[(3-1)² + (1-3)²] = √(4+4) = √8

RT = √[(5-1)² + (2-3)²] = √(16+1) = √17

ST = √[(5-3)² + (2-1)²] = √(4+1) = √5

Since the lengths are all different, the triangle is scalene.