CircleHard
Question
Given an isosceles triangle, whose one angle is 120o and radius of its incircle = √3. Then the area of the triangle in sq. units is
Options
A.7 + 12√3
B.12-7√3
C.12 + 7√3
D.4π
Solution
ᐃ = 
b2 ...... (1)
Also
⇒ a = √3b
and ᐃ = √3s and s =
(a + 2b)
⇒ ᐃ =
(a + 2b) ...... (2)
From (1) and (2), we get ᐃ = (12 + 7√3).
b2 ...... (1)Also
⇒ a = √3band ᐃ = √3s and s =
(a + 2b) ⇒ ᐃ =
(a + 2b) ...... (2)From (1) and (2), we get ᐃ = (12 + 7√3).
Create a free account to view solution
View Solution FreeMore Circle Questions
Find the co-ordinates of a point p on line x + y = _ 13, nearest to the circle x2 + y2 + 4x + 6y _ 5 = 0...The locus of the centre of a circle , which touches exterbally the circle x2 + y2 - 6x - 6y + 14 = 0 abd also touches th...The gradient of the tangent line at the point (a cos α, asin α ) to the circle x2 + y2 = a2, is -...In the figure shown, radius of circle C1 be r and that of C2 be , where r = PQ, then length of AB is (where P and Q bein...If the incentre of an equilateral triangle is (1, 1) and the equation of its one side is 3x + 4y + 3 = 0, then theequati...