The equation of the base of an equilateral triangle `A B C` is `x+y=2` and the vertex is `(2,-1)` . The area of the triangle `A B C` is: `(sqrt(2))/6` (b) `(sqrt(3))/6` (c) `(sqrt(3))/8` (d) None of these

The equation of the base of an equilateral triangle ABC is x+y=2 and the vertex is (2,-1). The area of the triangle ABC is: (sqrt(2))/(6) (b) (sqrt(3))/(6) (c) (sqrt(3))/(8) (d) None of these

The equation to the base of an equilateral triangle is (sqrt(3)+1)x+(sqrt(3)-1)y+2sqrt(3)=0 and opposite vertex is A(1,1) then the Area of the triangle is

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/(3)) (b) (2)/(sqrt(15))sqrt((8)/(15)) (d) sqrt((15)/(2))

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle PQR is an equilateral triangle.The length of the side of the triangle is (2)/(sqrt(5)) (b) (3)/(sqrt(5))(c)(4)/(sqrt(5))(d) none of these

The altitude of an equilateral triangle of side 2sqrt(3) c m is 1/2c m (b) (sqrt(3))/4c m (c) (sqrt(3))/2c m (d) 3 c m

The equation of one side of an equilateral triangle is x-y=0\ and one vertex is (2+sqrt(3),\ 5) . Prove that a second side is y+(2-sqrt(3))x=6 and find the equation of the third side.

(sqrt(-2))(sqrt(-3)) is equal to sqrt(6)b.-sqrt(6)c.i sqrt(6)d* none of these

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) pi\ :sqrt(2) (b) pi\ :sqrt(3) (c) sqrt(3)\ :pi (d) sqrt(2)\ :pi

The value of sqrt(5+2sqrt(6)) is sqrt(3)-sqrt(2)(b)sqrt(3)+sqrt(2)(c)sqrt(5)+sqrt(6)(d) none of these

If A(1,-1,2),B(2,1,-1)C(3,-1,2) are the vertices of a triangle then the area of triangle ABC is (A) sqrt(12) (B) sqrt(3) (C) sqrt(5) (D) sqrt(13)