Question

If $a,b\&c$ are the lengths of the sides of the triangle $ABC$, then match the following:

• A. Scalene triangle
• B. Isosceles triangle
• C. Equilateral triangle

Answer 1

Given $a,b,c$ are the sides of the triangle $ABC$.


I. $a=b\ne c$
Here, two sides are equal in length
$\Rightarrow ABC$ is an isosceles triangle.

II. $a=b=c$
Here, all the three sides are equal in length
$\Rightarrow ABC$ is an equilateral triangle.

III. $a\ne b\ne c$
Here, all the three sides are unequal in length
$\Rightarrow ABC$ is a scalene triangle.