Home
Class 11
MATHS
If the equation of the base of an equila...

If the equation of the base of an equilateral triangle is `x+y=2` and the vertex is `(2,-1)`, then find the length of the side of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
length of side `bar(AB) = sqrt((2)/(3))` Unit.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|20 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|15 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|12 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Base of the equilateral triangle is along the line x + y- 2 = 0 and its one vertex is (2, -1). Find area of triangle.

consider three charges q_(1),q_(2),q_(3) each equal to q at the vertices of an equilateral triangle of side l what is the force on a charge Q placed at the centroid of the triangle

Knowledge Check

  • Three sphere of masses m_,m andm_ are located at the vertices of an equilateral triangle having side of same length. Find the moment of inertia of the system about one of side of triangle.

    A
    `(3)/(4)ml^(2)`
    B
    `(4)/(3)ml^(2)`
    C
    `(3)/(2)ml^(2)`
    D
    `(2)/(3)ML^(2)`
  • Similar Questions

    Explore conceptually related problems

    If (-4, 3) and (4,3) are two vertices of an equilateral triangle , find the coordinates of the third vertex, given that the origin lies in the interior of the triangle .

    The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles right-angled triangle whose opposite vertex is (7,2,4)dot Then which of the following in not the side of the triangle? a. (x-7)/2=(y-2)/(-3)=(z-4)/6 b. (x-7)/3=(y-2)/6=(z-4)/2 c. (x-7)/3=(y-2)/5=(z-4)/(-1) d. none of these

    An equilateral triangle is inscribed in the parabola y^(2) = 4ax , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

    An equilateral triangle is inscribed in the parabola y^(2)=4ax , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

    An equilateral triangle has one vertex at (3, 4) and another at (-2, 3). Find the coordinates of the third vertex.

    The ratio of the measures of three sides of a triangle is 4 : 2 : 3 and its perimeter is 36 cm. Find the area of this triangle.

    The area of an equilateral triangle ABC is 17320.5 cm^(2) . With each vertex of the triangle as centre, a circle is drawn with radius to half the length of the side of the triangle (see the given figure). Find the area of the shaded region. (Use pi = 3.14 and sqrt(3) = 1.73205 )