What is the area of triangle OMN?
Let MN be a chord of length 16 cm of a circle with centre at O and radius 10 cm. The tangents at M and N intersect at a point P. Further, OP intersects MN perpendicularly at Q.
- A. 36 square cm
- B. 40 square cm
- C. 45 square cm
- D. 48 square cm ✓
Correct Answer: D. 48 square cm
Explanation
In \triangle OMN, the base is MN = 16 cm and the perpendicular height from the center O to the chord is OQ = 6 cm. The area is \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 16 \times 6 = 48 square cm.
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