Question

How does an equilateral triangle differ from a scalene triangle?

Answer 1

Hint: We are asked to tell the difference between an equilateral triangle and a scalene triangle. To do so we will learn what are triangles and then we will define equilateral and then a scalene triangle. We will also learn how these triangles are defined related to their angles, like equilateral triangles are acute-angled triangles with all angles 60 degrees and like this, we do for a scalene triangle.

Complete step by step answer:
We are asked the difference between the type of triangles. We have to tell how the equilateral triangle differs from a scalene triangle. To answer this we will learn what are triangles and what are they based on and which we can differentiate between the types of triangles.
A triangle is a closed figure composed of 3 sides, along with three sides there are three angles. So, the triangle is a 3 sided closed figure. To differentiate between the types of the triangle, we can differentiate them on the basis of side or angle.
Now, we will learn about each of the given triangles. Firstly we will start with the equilateral triangle. The equilateral triangle is a triangle in which all the sides are equal. As its name suggests equi means equal and lateral means side. So, it is a triangle with an equal side. Along with the sides, all the angles of the triangle are also equal. For example,

As all angles are equal and the angle sum is 180 degrees always, so the angle of the equilateral triangle is 60 degrees each. So, the equilateral triangles are also the acute triangle as all angles here are always acute.

Now, we will learn about the scalene triangle. Scalene triangles are those triangles in which none of the sides are equal, as the name suggests, scalene means odd or uneven (unequal). So, no sides are equal. Along with the side, none of the angles is equal.

So, all sides and all angles are unequal. They can be an obtuse triangle or right triangle or acute triangle as they can have angles more than 90 degrees or less than 90 degrees, the triangle can be of any type in terms of angles.

Note: The obtuse triangle is those angles in which one angle is obtuse (angle greater than 90 degrees). The right-angle triangles are those in which one angle is a right angle, i.e. 90-degree angle. Always remember in the triangle, no two angles can be right and no two angles can be obtuse because the sum of 3 angles is always 180 degrees. So, if two are right or obtuse, then this rule is violated.