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PQR is an equilateral triangle with sides 2 sqr... - WAEC Mathematics 2007 Question

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
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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