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
What was the coal production in India for the April-August period of FY25?
India's agrochemical exports are projected to reach:
'Man -Yi' a super typhoon has hit which of these countries recently?
When is International Dog Day celebrated across the globe?
What was the target capacity of rural roads to be constructed under Phase IV of the Pradhan Mantri Gram Sadak Yojana (PMGSY)?
Every year we observe “The International Day for the Abolition of Slavery” on _____ day of December?
With the mid day meal scheme the offer to provide Breakfast for the government schools students which state has come up with this scheme?
In which of the following states the first portable hospital of India is being built?
Central Drug Research Institute is situated in which district of Uttar Pradesh?
Who founded the Slave Dynasty in Delhi Sultanate?
