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WAEC - Mathematics (2007 - No. 47)

PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
1.7cm
3.0cm
3.2cm
3.9cm

Paaiškinimas

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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