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The three sides of a triangular plot measure 13 m, 14 m and 15 m. What is its area in square metres?

Competition practiceMensuration
  • A84
  • B91
  • C42
  • D21

Step-by-Step Solution

Use Heron' formula with : area = √ = √7056 = 84 sq m. The trap treats two sides as a base and a perpendicular height, but no angle in a 13-14-15 triangle is a right angle; 42 halves the Heron result once more out of habit; 21 is the semi-perimeter, a length rather than an area.
Answer: A) 84

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