Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 30√19
In △PQR:
∠PRQ = 90°
By pythagoras theorm
RQ = √(784 - 100)
⇒ RQ = 6√19 cm
Hence,
Area of △PQR = 1/2 × 10 × 6√19 = 30√19 cm2