Home
Class 12
MATHS
Two sides of a triangle are given by the...

Two sides of a triangle are given by the roots of the equation `x^(2) -2sqrt3 x+2 =0.` The angle between the sides is `(pi)/(3).` Find the perimeter of `Delta.`

Text Solution

Verified by Experts

The correct Answer is:
`=a+b+c=2sqrt3+sqrt6`
Promotional Banner

Similar Questions

Explore conceptually related problems

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

Find the roots of the quadractic equation 3x^(2) -2sqrt(6)x+2=0 .

Find roots equation 2x^(2)-x-3=0 .

The measure of two sides of a triangle is 10 m and 15 m. The angle between them is increasing at the rate of 0.01 radi./sec. when the angle between them is (pi)/(3) , find the rate of change of increase in third side.

The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x gt 0, y gt 0 . The triangle is

Two sides of a triangle measure 9 cm and 10 cm. If the perimeter of the triangle is 36 cm, then its area is ………….. cm^(2)

Find the angle between the lines whose joint equation is 2x^2-3xy+y^2=0

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Find all roots of the equation x^4+2x^3-16x^2-22x+7=0 , if one root is 2+sqrt3

Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0 . If ortho centre of the triangle is (1,1) . Find the equation of third side of the triangle.