Mathematics
WAEC 2007
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
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A.
1.7cm
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B.
3.0cm
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C.
3.2cm
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D.
3.9cm
Correct Answer: Option B
Explanation
By Pythagoras theorem
h2 = (2\(\sqrt{3})^2 - (\sqrt{3})^2\)
= 22(\(\sqrt{3})^2 - 3\)
4(3) - 3 = 112 - 3
h2 = 9
h = \(\sqrt{9}\)
= 3cm
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