CLASSIFYING THE TYPES OF TRIANGLES WITH COORDINATES WORKSHEET

Use the distance formula to classify triangle ABC, as either equilateral, isosceles or scalene :

Problem 1 :

A(3, -1), B(1, 8), C(-6, 1)

Solution

Problem 2 :

A(1, 0), B(3, 1), C(4, 5)

Solution

Problem 3 :

A(-1, 0), B(2, -2), C(4, 1)

Solution

Problem 4 :

A(√2, 0), B(-√2, 0), C(0, -√5)

Solution

Problem 5 :

A(√3, 1), B(-√3, 1), C(0, -2)

Solution

Problem 6 :

A(a, b), B(-a, b), C(0, 2)

Solution

The vertices of a triangle are given. Classify the triangle as scalene, isosceles, or equilateral.

Problem 1 :

(-5, 0), (0, 6), (5, 0)

Solution

Problem 2 :

(0, -3), (0, 3), (3, 0)

Solution

Problem 3 :

(-2, 5), (1, -1), (4, 6)

Solution

Problem 4 :

(1, 4), (4, 1), (7, 4)

Solution

Problem 5 :

(-1, -6), (1, 1), (4, -5)

Solution

Problem 6 :

(-4, 3), (2, -1), (8, -1)

Solution