In a triangle PQR, PX bisects QR. PX is the angle bisector of angle P. If PQ =12 cm and QX = 3 cm, then what is the area (in cm ) of triangle PQR?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 3 i.e. 9√15
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Application |
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PX bisects QR. PX is the angle bisector of angle P. So, PR will be equal PQ. So, PR = PQ = 12 cm Hence, PQ = 12 cm, PR = 12 cm and QR = 6 cm So, s = [12 + 12 + 6]/2 = 15 Area of the triangle = √[15 × (15 – 12) × (15 – 12) × (15 – 6)] = √[15 × 3 × 3 × 9] = 9√15 cm |
