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If the height of an equilateral triangle is 2√3 cm, then what is the length of the circumradius of that triangle?
  • a)
    (2/√3) cm
  • b)
    (2√3) cm
  • c)
    (4/√3) cm
  • d)
    (4√3) cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the height of an equilateral triangle is 2√3 cm, then what is the ...
The Left side of the equilateral triangle is 'a' cm.
Height of equilateral triangle = √[a2 - (a/2)2] = (a√3)/2 = 2√3
a = 4 cm
Area of triangle = (1/2) * side * Height = (1/2) * 4 * 2√3 = 4√3 cm2
Length of circumradius of triangle = abc/4△
= (4 * 4 * 4)/(4 * 4√3)
= (4/√3) cm
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