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

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

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