Question

Which best describes the triangle or triangles, if any, that can be formed with sides, measuring 60 cm, 100 cm, and 40 cm?
Answer
Which best describes triangle or triangles if any that can be formed with sides measuring 60 cm, 100 cm and 40 cm? Responses
Two unique scalene triangles
Infinitely many similar scalene triangles
One unique scalene triangle
No triangle
Answered by GPT 3.5
The triangle with sides measuring 60 cm, 100 cm, and 40 cm cannot be formed. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. In this case, 60 + 40 = 100, which is equal to the length of the longest side. Therefore, it violates the triangle inequality theorem and no triangle can be formed.
Answered by GPT 3.5
One unique scalene triangle can be formed with sides measuring 60 cm, 100 cm, and 40 cm.