Question
The area of an equilateral triangle increases by 16√3
square units when the length of each side is increased by 4 units. What is the original perimeter of the triangle?Solution
Let length of each side of the equilateral triangle = ‘x’ units After increment, length of each side of the equilateral triangle = (x + 4) units According to the question, (√3/4) × (x + 4)2 – (√3/4) × x2 = 16√3 Or, (√3/4) × [(x + 4)2 – x2)] = 16√3 Or, (1/4) × [x2 + 16 + 8x – x2)] = 16 Or, (1/4) × (16 + 8x) = 16 Or, 16 + 8x = 64 Or, 8x = 48 Or, x = 6 Therefore, original perimeter of the equilateral triangle = 3x = 6 × 3 = 18 units
With reference to the Global Financial Innovation Network (GFIN), consider the following statements:
I. It is a consortium of o...
What is the main objective of the Pradhan Mantri Jan Dhan Yojana?
Who among the following said, "Employee welfare means anything done for the comfort and improvement, intellectual or social, of the employees over and a...
Which Indian city was recently ranked the 12th richest city globally?
Which of the following statements is/are incorrect about the “Wholesale Price Index (WPI)”?
I. WPI does not capture changes...
Which of the following are the key actors in industrial relations according to Dunlop's System Theory?
Which of the following is not included in the National Income?
Match the following correctly;
What type of economy does India have?
"ILO Conference No. 87" sometimes seen in the news is related to which of the following?
