Question

"If a, b, c are three sides of a triangle, then maximum value of (a ² + b² + c²)/(a + b + c) is ?

If ( a, b, c ) are three sides of a triangle, then maximun value of {a²+b²+c²}{a+b+c} is :"

Answer 1

The maximum value of (a² + b² + c²)/(a + b + c) in a triangle is when the triangle is an equilateral triangle.

Step-by-step explanation:

The maximum value of (a² + b² + c²)/(a + b + c) in a triangle is when the triangle is an equilateral triangle. In an equilateral triangle, all three sides are equal. Let's assume that each side is represented by s. So, a = b = c = s. Substituting these values into the expression, we get: (s² + s² + s²)/(s + s + s) = (3s²)/(3s) = s.