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What is the difference between an equilateral and an isosceles triangle?
Answer
421.5k+ views
Hint: To find the difference between an equilateral triangle and an isosceles triangle, we need to first of all know what an equilateral and isosceles triangle are. We know that the equilateral triangle is the triangle which has all the sides equal whereas the isosceles triangle is the triangle in which only two sides are equal so this is one of the differences between the two triangles. Similarly, you can find the other differences too.
Complete step-by-step answer:
An equilateral triangle is the triangle in which all the sides are equal. And in the below, we are showing the diagram of the equilateral triangle with all the three sides equal.
An isosceles triangle is the triangle in which only two out of three sides are equal. And in the below, we are showing the figure of an isosceles triangle.
One difference between equilateral and isosceles triangle is pretty clear from the figure that in equilateral triangle all the sides are equal whereas in the isosceles triangle, any two sides from the three are equal.
The other difference between equilateral and isosceles triangle is that:
We know the property which states that angles opposite to equal sides are equal. This means that in the equilateral triangle, all the angles are equal and in the isosceles triangle, only two angles are equal. This difference we are showing in the following:
The above triangle is an isosceles triangle and we are showing two angles $\angle DEF=\angle DFE$.
Now, we are showing an equilateral triangle in which all the three angles are equal.
Hence, we have shown the difference between equilateral and isosceles triangles.
Note: You can remember the definition of equilateral triangle by using the word “equi” means equal and which lies in the definition of equilateral triangle that says equal sides. In this way, you can remember the definition of an equilateral triangle.
Complete step-by-step answer:
An equilateral triangle is the triangle in which all the sides are equal. And in the below, we are showing the diagram of the equilateral triangle with all the three sides equal.
![seo images](https://www.vedantu.com/question-sets/f76bb03c-9ddc-4fb2-9992-c97d84ad1cb02401653468535472427.png)
An isosceles triangle is the triangle in which only two out of three sides are equal. And in the below, we are showing the figure of an isosceles triangle.
![seo images](https://www.vedantu.com/question-sets/bfb31123-c200-4ec3-a29f-fe51c5fe42768317653522356137293.png)
One difference between equilateral and isosceles triangle is pretty clear from the figure that in equilateral triangle all the sides are equal whereas in the isosceles triangle, any two sides from the three are equal.
The other difference between equilateral and isosceles triangle is that:
We know the property which states that angles opposite to equal sides are equal. This means that in the equilateral triangle, all the angles are equal and in the isosceles triangle, only two angles are equal. This difference we are showing in the following:
![seo images](https://www.vedantu.com/question-sets/e98c57ac-0d9e-4fc5-99b2-36b8a2e95bd55739673946617341190.png)
The above triangle is an isosceles triangle and we are showing two angles $\angle DEF=\angle DFE$.
Now, we are showing an equilateral triangle in which all the three angles are equal.
![seo images](https://www.vedantu.com/question-sets/d09e6dd1-c563-4f3d-a5fc-fb283fc7e29d7089861044184251361.png)
Hence, we have shown the difference between equilateral and isosceles triangles.
Note: You can remember the definition of equilateral triangle by using the word “equi” means equal and which lies in the definition of equilateral triangle that says equal sides. In this way, you can remember the definition of an equilateral triangle.
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