Home
Class 11
MATHS
The equation of the base of an equilater...

The equation of the base of an equilateral triangle is `x+y-2=0` and the opposite vertex his coordinates (2, -1). Find the area of he triangle.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2sqrt(3))` sq.units
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(a)|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(b)|7 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

The equation of the base of an equilateral triangle is x+y=2 and its vertex is (2,-1). Find the length and equations of its sides.

The equation of the base of an equilateral triangle is x+y = 2 and the vertex is (2, -1). Length of its side is

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

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

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

A vertex of an equilateral triangle is (2,3) and the opposite side is x+y=2. Find the equations of other sides.

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))