The length of a side of an equilateral triangle is 120 cm less than its perimeter. What is the area of the equilateral triangle?
Answer & explanation
Correct answer: option 2
We know that,
Area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2
We have,
The length of a side of an equilateral triangle = 120 cm less than its perimeter.
According to the question,
3(side) - 120 = (side)
= 2(side) = 120
= (side) = 60
Area of the triangle = \(\frac{\sqrt {3}}{4}\) × (60)2 = \(\frac{\sqrt {3}}{4}\) × 3600
= 900\(\sqrt {3}\) cm2