Who is the first women boxer to be honoured with the Rajiv Gandhi Khel Ratna Award?

Which is the only Test playing nation that India has never beaten in T20 International ?

The Doctrine of Lapse was one of the causes for which rebellion ?

Where did Sunita Williams display the Indian flag on Independence day in 2012 ?

Which of these can be estimated from the colour of the nose of a lion?

At Rio 2016, who made the record for the fastest goal scored in football in Olympics by scoring a goal in 14 seconds?

Which of these Indian supreme court judges also served in the International Court of Justice?

Which of the following tools is part of the name of an Olympic sporting events ?

Which of these Indian Para-athletes won the gold medal in high jump at the Rio Paralympic Games ?

Which of these companies is a major manufacturer of high speed passenger trains?

A square and an equilateral triangle have the same perimeter. If the area of the triangle is 16√3 , what is the area of the square?

Let the side of Equilateral triangle be t And of square be s By first condition 4*s = 3*t Area of equilateral triangle = √3/4 * (side^2) = √3/4 * (t^2) 16√3/4 = √3/4 * (t^2) So t^2 = 16*4 t = 8 Now 4*s = 3*8 s = 6 So area of square = side^2 = 6^2 = 36

Let x as side of triangle, y as side of square. hence 3x = 4y area of triangle = 1/2 bh, b = x , h = √3 x /2 hence √3x^2 / 4 = 16√3 x = 8 3x = 24 = 4y y = 6 area of square = y^2 = 36.............

let side of the triangle be b then area of the triangle is 0.5*b*0.5*b*sqrt(3) given area of the triangle is 16*sqrt(3) from the above two b=8 therefore side of the square is 6 and area 36

Suppose you have perimeter as 12x then each side of triangle would be 3x and for square it would be 4x.

now (√3/4)*(4x)^2 = 16√3 or (4x)^2 = 64 = 8^2 or x = 2

area of the square is (3x)^2 or 36

Let the side of the equilateral be s, then area of the equilateral ▲= (√3s²)/4 = 16√3 => s² = 64 → s = 8

Perimeter of the equilateral ▲= 3s = 24

Perimeter of the square = 4a = 24, hence a= 6.

Area of the square a² = 6² = 36

The area of square would be 32.

A triangle, a square, a pentagon, a hexagon, an octagon and a circle all have an equal perimeter, which one has the smallest area?

ABCD is a square and point P inside the square is such that PCD is an equilateral triangle. Find the angle α

In a circle of radius 1, an equilateral triangle is inscribed in the circle as shown. What is the area of the blue region?