Question

The difference between the largest and the smallest angle of the given triangle is:

• A. $\angle B-\angle C$
• B. $\angle C-\angle B$
• C. $\angle B-\angle A$
• D. $\angle A-\angle B$

Answer 1

The correct option is C $\angle B-\angle A$



Given, in $\Delta ABC$,
$AC=3,AB=8$ and $BC=10$
Hence, the ascending order of sides is
$AC,AB,BC$

In any triangle, the angle opposite to the longer side is larger.
$\therefore$ Ascending order of angles is $\angle B,\angle C,\angle A$.
$\Rightarrow \angle B<\angle C<\angle A$

$\therefore$ The difference of the largest and the smallest angle of the given triangle is $\angle A-\angle B$.