The area of a triangular park is equal to 5√3 times the area of a triangular field with sides 18 m, 80 m and 82 m. What is the side of the triangular park?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 120 m.
Sides of triangle = 18, 80, and 82 m
These are Pythagorean triplets thus, the triangle formed is a right angles triangle.
Area of right-angled triangle = base(height)/2 = 18(80)/2 = 18(40) = 720 m2
Area of the equilateral triangle = 5√3(720)
ATQ -
√3a2/4 = 5√3(720)
a2 = 20(720)
a2 = 14400
a = 120 m