Is it possible for a triangle to have sides with lengths: 2cm, 5cm and 8cm? Explain your answer.?

Answer 1

No, you cannot.

One of the properties of the triangle is that sum of two smaller sides must be greater than the remaining side. 2+5=7. It is not long enough to form a triangle if the remaining side is 8. Conversely, 8 is too long for the sides 2 and 5.

Answer 2

Yes, these kind of triangles are called SCALENE triangles. Scalene triangles have no congruent sides. (congruent means alike)

Answer 3

equation for triangle
c(squared)=a(squared)+b(squared)
8(squared)=2(squared)+5(squared)
64=4+25
not equal, therefore no