Home
Class 12
MATHS
If an equilateral triangle and a regular...

If an equilateral triangle and a regular hexagon have the same perimeter, prove that their areas are as 2:3.

Promotional Banner

Similar Questions

Explore conceptually related problems

An equilateral triangle and a regular hexagon has same perimeter. Find the ratio of their areas.

A triangle and a regular hexagon have the same perimeter. If the area of the hexagon is 72 sqrt(3) , what is the area of the triangle ?

The sides of a triangle are in A.P. and its area is 3/5t h of the an equilateral triangle of the same perimeter, prove that its sides are in the ratio 3:5:7, and find the greatest angle of the triangle.

If the side of an equilateral triangle is doubled, find the new perimeter.

The side of a triangle are in A.P. Its area is 3/5 the of an equilateral triangle of the same perimeter. Show that the sides are in the proportion 3:5:7 .

If the side of an equilateral triangle is 6 cm, then its perimeter is

The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

An equilateral triangle is drawn on a diagonal of a square of perimeter 16cm . If the area of triangle is xsqrt3 cm^2 , then the value of x is

If the area of an equilateral triangle is 16sqrt3 cm^(2) , then the perimeter of the triangle is

The side of an equilatetral triangle has the same length as the diagonal of a square. What is the area of the square? (1) The height of the equilateral triangle is equal to 6sqrt(3) . (2) The area of the equilateral triangle is equal to 36sqrt(3) .