Classifying Triangles in Coordinate Plane

Triangle Classifications in the Coordinate Plane

• Triangle A(0,0), B(4,10), C(8,0) is classified as isosceles.

  • Side lengths are AB = 10.8, AC = 8, and BC = 10.8, indicating two equal sides.

• Triangle D(-3,3), E(3,3), F(0,-3) is classified as isosceles.

  • Side lengths are DE = 6, EF = 6.7, and DF = 6.7, showing two sides are equal.

• Triangle A(-4,1), B(1,-6), C(7,5) is classified as scalene.

  • Side lengths are AB = 8.6, BC = 12.5, and AC = 11.7, with all sides having different lengths.

• Triangle A(-4,1), B(3,8), C(9,6) is classified as scalene.

  • Side lengths are AB = 9.9, BC = 6.3, and AC = 13.9, confirming no equal sides.

• Triangle A(2,8), B(5,4), C(1,1) is identified as a right triangle.

  • Slope of AB = -4/3, slope of BC = 3/4, and slope of AC = 7/1, demonstrating the presence of a right angle.