Triangle ABC has vertices A(3, -5), B(7, 1) and C(3, 1).
Use this information to classify it by its sides. Use the distance formula (or Pythagorean theorem) to provide mathematical evidence that supports your answer.

One way to solve this problem is to locate the three points of the triangle in the Cartesian plane to have a graphical idea of this triangle. As you can see on the image, this is a rectangle triangle, therefore we can determine with the plane the length of both legs and then with the Pythagorean theorem find out the hypotenuse as follows:

[tex]h^2 = a^2 + b^2 \\h^2 =6^2 + 4^2=36+16\\h= \sqrt 52= 7.21[/tex]

Therefore, we have a triangle with three sides of different length, and that corresponds with a scalene triangle.

Triangle ABC has vertices A(3, -5), B(7, 1) and C(3, 1). Use this information to classify it by its sides. Use the distance formula (or Pythagorean theorem) to provide mathematical evidence that supports your answer.

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Triangle ABC has vertices A(3, -5), B(7, 1) and C(3, 1).
Use this information to classify it by its sides. Use the distance formula (or Pythagorean theorem) to provide mathematical evidence that supports your answer.