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In triangle ABC, AB = 13, BC = 14 and CA = 15. What is the length of the altitude drawn from A to side BC?

Competition practiceGeometry
  • A10.5
  • B11.2
  • C13
  • D12

Step-by-Step Solution

Semi-perimeter . By Heron' formula the area = √ = √7056 = 84. Since area = ½ × BC × altitude, 84 = ½ × , so .
Answer: D) 12

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