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 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