Question

Number of lines of symmetry in a scalene triangle is

(a). 0
(b). 1
(c). 2
(d). 3

Answer 1

- Hint: To solve this question we need to know what a scalene triangle is. A scalene triangle is a triangle that has all the three sides unequal.

Complete step by step answer -

To solve this question, we will first define what are scalene triangles and what is called a line of symmetry.
A scalene triangle is a triangle that has three unequal sides, which is illustrated below.

In geometry, a line of symmetry is a line that can be drawn on a two-dimensional shape so that the shape is split into two parts that are mirror images of one another.
The number of lines of symmetry of a triangle depends on the type of triangle one is dealing with.
Observing the figure of the scalene triangle given above we see that considering any point or a line in the figure we cannot attain a mirror image with respect to that.
This was an example of a scalene triangle. But for any other scalene triangle too, because they do not have any side or angle equal so there is no line of symmetry in them.
Therefore, we get that the scalene triangles have 0 lines of symmetry.
Matching from the options given below we have that (a) is correct.

Note: The possibility of error in this type of question is that without drawing the figure, you can randomly opt for a point or a line in the scalene triangle and say that it is a line of symmetry which would be wrong. Any assumptions without drawing the figure will give the wrong result.