Question

For the triangle below, which option correctly gives an arrangement of its sides in ascending order of their lengths?

• A. $AB,BC,AC$
• B. $AB,CA,BC$
• C. $AC,AB,BC$
• D. $CA,BC,AB$

Answer 1

The correct option is A

$AB,BC,AC$

Ascending order of the angles in the given triangle is ${40}^{\circ },{65}^{\circ },{75}^{\circ }$.
We know that, in any triangle, the side opposite to the larger (greater) angle is longer.
So, $AB<BC<AC$.
So, the sides in ascending order will be $AB,BC,AC$.