A triangle has circum radius R and sides a, b, c with `4R(b^2+ c^2) = a(b+c)^2`, then triangle is

If R denotes the circum-radius of a Delta ABC , then (b^(2)-c^(2))/(2aR) is equal to

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and = __________ and also ("lim")_(xvec0)A/(P^3)=______

In a triangle ABC, let /_C=pi//2 . If r is the inradius and R is the circum-radius of the triangle, then 2(r+R) is equal to :

In an acute angled triangle A B C , a semicircle with radius r_a is constructed with its base on BC and tangent to the other two sides. r_b a n dr_c are defined similarly. If r is the radius of the incircle of triangle ABC then prove that 2/r=1/(r_a)+1/(r_b)+1/(r_c)dot

In an acute angled triangle A B C , a semicircle with radius r_a is constructed with its base on BC and tangent to the other two sides. r_b a n dr_c are defined similarly. If r is the radius of the incircle of triangle ABC then prove that 2/r=1/(r_a)+1/(r_b)+1/(r_c)dot

If Delta is the area of triangle whose sides are a,b,c then the area of the triangle with 2a,2b,2c as the sides is

if sum of two sides of a triangle is x and the product of those sides is y and third side is c such that x^2 -c^2 =y then circum radius of Delta is (A) y/sqrt3 (B) c/sqrt3 (C) (3y)/4 (D) (3c)/4

The area of a triangle A B C is equal to (a^2+b^2-c^2) , where a, b and c are the sides of the triangle. The value of tan C equals