Equilateral Triangle Properties Quiz
Test your knowledge about the fascinating properties of equilateral triangles and their unique geometric characteristics.
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Quiz Questions & Answers
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Question 1: What is true about all angles in an equilateral triangle?
They vary depending on the side length
They are each 45°
They are each 60°
They sum to 180°
Question 2: In an equilateral triangle, what is the relationship between the medians?
They have different lengths
They are all equal in length
They are perpendicular to each other
They form 45° angles
Question 3: Where does the circumcenter of an equilateral triangle lie?
Outside the triangle
At the midpoint of any side
At any vertex
At the centroid
Question 4: If an equilateral triangle has a side length of s, what is the length of its altitude?
s
s√2
s√3/2
s/2
Question 5: What is special about the mediators (perpendicular bisectors) in an equilateral triangle?
They are shorter than the sides
They form right angles with vertices
They are parallel to the sides
They are all equal in length
Question 6: Which circle property is unique to equilateral triangles?
The inscribed and circumscribed circles are concentric
It has no inscribed circle
It has multiple circumscribed circles
The circles never intersect
Question 7: What is the relationship between an equilateral triangle's inradius (r) and circumradius (R)?
R = r/2
R = 3r
R = r
R = 2r
Question 8: What is the barycentre of an equilateral triangle
The centre of an inscribed triangle
The intersect of the three medians of the triangle
The point of equal angles
The point where mass is concentrated