Home
Class 12
MATHS
A vertex of an equilateral triangle is 2...

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

Text Solution

AI Generated Solution

To find the equations of the other sides of the equilateral triangle given one vertex and the opposite side, we can follow these steps: ### Step 1: Identify the given information We have a vertex \( A(2, 3) \) of the equilateral triangle and the opposite side represented by the equation \( x + y = 2 \). ### Step 2: Determine the slope of the given line The equation of the line can be rewritten in slope-intercept form: \[ ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXAMPLE|12 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

The vertex of an equilateral triangle is (2,3) and the equation of the opposite side is x+y=2 . Then, the other two sides are y-3=(2pmsqrt3)(x-2) .

The co-ordinates of the vertex of an equilateral triangle are (2,-1) and equation of its base is x+y-1=0 . Find the equations of its other two sides.

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 .

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1, then orthocentre of the triangle is :

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

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

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

The area of an equilateral triangle with side 2sqrt3 cm is

The side of an equilateral triangle is 3.5 cm. Find its perimeter

The vertex P of an equilateral triangle trianglePQR is at (2,3) and the equation of the opposite side QR is given by x+y=2 . Find the possible equations of the side PQ.