If a, b,c are the lengths of the sides of triangle , then

If a,b,c are the lengths of the sides of a triangle,then the range of (ab+bc+ca)/(a^(2)+b^(2)+c^(2))

If vec(p), vec(q) are two non collinear and non zero vectors such that (b-c) (vec(p) xx vec(q)) + (c-a) vec(p) + (a-b) vec(q)= vec(0) where a,b,c are the length of the sides of a triangle, then the triangle is

Using vectors: Prove that if a,b,care the lengths of three sides of a triangle then its area Delta is given by Delta= sqrt(s(s-a)(s-b)(s-c)) where 2s=a+b+c

Let a, b, c be the lengths of the sides of a triangle (no two of them are equal) and k in R .If the roots of the equation x^2 + 2(a+b+c)x+6k(ab+bc+ac)=0 are real, then:

Let a,b,c be the lengths of the sides of a triangle (no two of them are equal) and k in R .If the roots of the equation x^(2)+2(a+b+c)x+6k(ab+bc+ac)=0 are real,then: