Properties of TriangleHard
Question
In ᐃABC with usual notations, if A = 3C and acute angle between altitude from vertex A & angle bisector of vertex B is 60o, then (r is inradius & R is circumradius of ᐃ ABC)
Options
A.r = 
B.r = 
C.r = 
R
RD.ᐃ ABC is an equilateral triangle
Solution
∠B = 60o
A + C = 120o ⇒ A = 90o & C = 30o
r = (s - a) tan
= 4R sin 
⇒ r =
= 
= 
RCreate a free account to view solution
View Solution FreeMore Properties of Triangle Questions
In a triangle with sides a, b, c, r1 > r2 > r3 (which are the ex - radii) then...Two lines are drawn through (3, 4), each of which makes angle of 45o with the line x - y = 2, Then area of the triangle ...The values of a, for which the points A, B, C with position vectors and respectively are the vertices of a right-angled ...In a ᐃABC, if a = 8, b = 15, c = 17 then sinand cos A are equal to-...In a triangle ABC, (a + b + c) (b + c − a) = λbc if -...