MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
The side of an equilateral triangle is 1 cm. What is its circumradius, in cm?
Think it through first, then pick an option.
- a √3/4 cm
- b 1/√3 cm
- c √3/2 cm
- d √3 cm
Answer and explanation
Correct answer: b 1/√3 cm
The median is √3/2 and R = ⅔ of the median = ⅔ × √3/2 = 1/√3 cm.
Why the other options are wrong
- a √3/4 cm: √3/4 is the area of a triangle with side 1, not the circumradius.
- c √3/2 cm: √3/2 is the median; the circumradius is ⅔ of it.
- d √3 cm: √3 > 1; the circumradius is smaller than the side, 1/√3.
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