Question

In a $△ABC,$ we have $AB=4cm$, $BC=5.6cm$ and $CA=7.6cm$. Write the angles of the triangle in ascending order of measures.

Answer 1

Axiom $1:$ Angle opposite to the largest side is largest and vice-versa.

Axiom $2:$ Angle opposite to smallest side is smallest and vice-versa.

By using axiom $1,$

From given data $AC=7.6cm$ is largest, the angle opposite to $AC$ is $\angle B.$

$\therefore$ Largest angle in $△ABC$ is $\angle B.$

By using axiom $2,$

Also, $AB=4cm$ is smallest, the angle opposite to $AB$ is $\angle C.$

$\therefore$ Smallest angle in $△ABC$ is $\angle C.$

Hence, the angles in ascending order will be,

$\angle C<\angle A<\angle B$