Home
Class 12
MATHS
A line divides an equilateral triangle A...

A line divides an equilateral triangle ABC of side length unity into two parts with same perimeter and areas `S_(1)` and `S_(2)`
The maximum value of `(S_(1))/(S_(2))` is

A

1

B

`(7)/(9)`

C

`(9)/(7)`

D

`(1)/(sqrt(3))`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A line divides an equilateral triangle ABC of side 1 unit into two parts with same perimeter and different are S_(1) and S_(2) sq. units. If maximum value of (S_(1))/(S_(2))=m/n (where m and n coprime), then |m-n| is _____

P is a variable point on the ellipse with foci S_1 and S_2 . If A is the area of the the triangle PS_1S_2 , the maximum value of A is

Let P be a variable point on the ellipse with foci S_(1) and S_(2) . If A be the area of trianglePS_(1)S_(2) then find the maximum value of A

The sides of an equilateral triangle are increasing at the rate of 2 cm/s. Find the rate at which the area increases, when the side is 10 cm .

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) .

The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its side correct to two decimal place.

3 point O (0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2 . Let S_(1) be the area bounded by the line PQ and parabola let S_2 be the area of the Delta OPQ , the minimum value of S_(1)//S_(2) is

Each side of triangle ABC is divided into three equal parts. Find the ratio of the area of hexagon P Q R S T U to the area of the triangle ABC.

The perimeter of a triangle ABC is saix times the arithmetic mean of the sines of its angles. If the side ai s1 then find angle Adot

The perimeter of a triangle ABC is saix times the arithmetic mean of the sines of its angles. If the side ai s1 then find angle Adot