Question on: WAEC Mathematics - 2007

PQR is an equilateral triangle with sides 2(\sqrt{3cm}). calculate its height

A
1.7cm
B
3.0cm
C
3.2cm
D
3.9cm
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Correct Option: B

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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