The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2√3 cm
Given that
The side of the equilateral triangle PQR is PQ = 6 cm
Then the height of the equilateral triangle h = √3/2 × 6 = 3√3 cm
The centroid of an equilateral triangle PQR is L.
Hence, the length of PL = (2/3) h = (2/3) × 3√3 = 2√3 cm