Question
True or False
All equilateral triangles are also isosceles.
(1 point)
Responses
True
True
False
False
False
Explanation:
An equilateral triangle is a triangle with all sides of equal length. An isosceles triangle is a triangle with at least two sides of equal length. Therefore, while all equilateral triangles are isosceles, not all isosceles triangles are equilateral.
The correct answer is True.
To determine if all equilateral triangles are also isosceles, we need to understand the definitions of these two types of triangles.
An equilateral triangle is a triangle with all three sides having equal lengths. Each angle in an equilateral triangle is also equal to 60 degrees.
An isosceles triangle is a triangle with at least two sides having equal lengths. This means that either two sides are equal or all three sides are equal.
In an equilateral triangle, all three sides are equal, which means that it satisfies the condition for an isosceles triangle with all three sides being equal.
Therefore, all equilateral triangles are also isosceles triangles. So, the correct answer to the question is True.