The sides of a triangular field are 360 m, 480 m and 600 m. Its area is equal to the area of a square field. What is the side (in m) of the square field?
Explanation:
The ratio of sides of the triangle is 360 : 480 : 600 = 3 : 4 : 5.
Hence, it is a right triangle.
⇒ Area of the triangle = 1/2 × 360 × 480
Area of a square of side a = a2 = 1/2 × 360 × 480
⇒ a2 = 360 × 240
⇒ a = 360×240
⇒ a = 3600×4×6
⇒ a = 120√6
Hence, option (a).
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