MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
The circumradius of an equilateral triangle is 5 cm. What is the length of its side?
Think it through first, then pick an option.
- a 5√3 cm
- b 3√5 cm
- c √5 cm
- d √3 cm
Answer and explanation
Correct answer: a 5√3 cm
From R = a/√3, a = R√3 = 5√3 cm.
Why the other options are wrong
- b 3√5 cm: 3√5 swaps the two numbers in 5√3; from R = a/√3 the side is a = R√3 = 5√3.
- c √5 cm: √5 is far too small; the side is longer than the circumradius.
- d √3 cm: √3 is far too small, forgetting the factor R = 5; the side is a = R√3 = 5√3.
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