The sides of a triangular fields 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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 120
Given:
Sides of a triangular fields are 360 m, 480 m and 600 m
Formula used:
Area of triangle = (1/2) × base × height
Area of square = side2
Calculations:
Sides of a triangular fields are 360 m, 480 m and 600 m form a triplet
Height = 480 m and base = 360 m
Area of triangle = (1/2) × 360 × 480 = 86400
According to the question:
Area of triangle is equal to the area of square
⇒ side2 = 86400
⇒ side = 120√6