Question

In a triangle ABC , if AB , BC and AC are the three sides of the triangle , then which of the following statements is necessarily true ?

• A. $AB+BC<AC$
• B. $AB+BC>AC$
• C. $AB+BC=AC$
• D. $A{B}^2+B{C}^2=A{C}^2$

Answer 1

The correct option is B $AB+BC>AC$

The sum of any two sides of a triangle is greater than the third side .

In $△ABC,AB,BC$ and $AC$ are the three sides ,

Now ,

$AB+BC>AC$