# 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

1) It is isosceles triangle.

2) It is scalene triangle.

3) It is isosceles triangle.

4)  It is isosceles triangle.

5) it is equilateral triangle.

6) it is isosceles triangle.

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

1)  it is isosceles triangle.

2)  it is isosceles triangle.

3)  it is scalene triangle.

4)  it is a right triangle.

5)  it is scalene triangle.

6)  it is scalene triangle.

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