Home
Class 12
MATHS
The sides of a triangle are x^2+x+1, 2x+...

The sides of a triangle are `x^2+x+1, 2x+1 and x^2-1.` Prove that the greatest angle is `120^0`

Text Solution

Verified by Experts

The correct Answer is:
`120^@`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (3)(MULTIPLE CHOICE QUESTIONS)|30 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (3)(TRUE AND FALSE)|3 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (2)(TRUE AND FALSE)|2 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

If the sides of a triangle are in the ratio x:y:sqrt(x^(2)+xy+y^(2)) ,then the greatest angle is

if length of the sides of a Delta ABC are x^(2)+x+1,2x+1,x^(2)-1 then half of the largest angle of a Delta ABC is

Knowledge Check

  • If the measures of the sides of triangle are (x^2 - 1), (x^2 + 1) and 2x cm, then the triangle would be

    A
    equilateral
    B
    acute - angled
    C
    isosceles
    D
    right-angled
  • If the measures of the sides of triangle are (x^2 - 1), (x^2 + 1) and 2x cm , then the triangle would

    A
    equilateral
    B
    acute-angled
    C
    isosceles
    D
    right-angled
  • If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

    A
    `5x-3y=1`
    B
    `5y-3x=1`
    C
    `2x-3y=1`
    D
    `5x-3y=2`
  • Similar Questions

    Explore conceptually related problems

    If the sides of a triangle are in A.P., and its greatest angle exceeds the least angle by alpha , show that the sides are in the ration 1+x :1:1-x , , where x = sqrt((1- cos alpha)/(7 - cos alpha))

    The equations of the three sides of a triangle are x=2,y+1=0 and x+2y=4 .The coordinates of the circumcentre of the triangle are

    The measure of sides are (x^(2)-1), (x^(2)+1) and 2x cm. then the triangle is-

    Two sides of a triangle are y=m_(1)x and y=m_(2)x and m_(1),m_(2), are the roots of the equation x^(2)+ax-1=0. For all values of a, the orthocentre of the triangle lies at (A)(1,1) (B) (2,2) (C) ((3)/(2),(3)/(2)) (D) (0,0)

    If the sides of a triangle are x, y and sqrt((x^(2) + xy + y^(2))) , then then measure of its greatest angle is....