In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in cm2) of the shaded region?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12√3
Median, PV = √(122 - 62) = 6√3 cm
So,
UV = PV/3 = 2√3 cm
Hence,
Area of △QUR = 1/2 × UV × QR = 1/2 × 2√3 × 12 = 12√3 cm2