Sum of angles of a triangle is 180 degress. So while studying trigonometric ratios , I got surprised at cos0 and cos 180 values. Although cosine is ratio of adjecent and hypotenuse ,in case of cos0 with value 1 or cos180 with value 0, i doubt that how can it be called as triangle where one angle is 0 or 180 degree?
It would be just be just a straight line rather than called as triangle,isn't it? Also I want to know what could be the minimum and maxmimum value of angle in the triangle ?
Best Answer
What you described at the first part is what we call degeneracy, some people accept degenerate triangle as triangle, but if you don't we have no minimum (nor maximum) angle:
Give me a triangle with an angle $\alpha$ I can create a triangle with an angle $\alpha/2$ and a(different) triangle with angle $(\alpha+180)/2$(degrees), the first triangle shows that $\alpha$ is not minimal angle, and second shows that $\alpha$ is not maximal angle.