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?
Answer & explanation
Correct answer: option 1
We know that,
Area of triangle = \(\frac{1}{2}\) × Base × Height
Area of square = Side2
We have,
The sides of a triangular field = 360 m, 480 m and 600 m.
We know that, this is a right angled triangle.
It means height = 480 and base = 360, and 600 = Hypotenuse
Area of triangle = \(\frac{1}{2}\) (360 × 480) = 86400 cm2
According to the question,
Its area is equal to the area of a square field.
= side2 = 86400
= side = 120\(\sqrt {6}\) cm