[" (7) (a) show that for any triangle with males aib,c."],[qquad 3(ab+bc+ca)leqslant(a+b+c)^(2)<=4(ab+bc+ca)]

Show that for any triangle with sides a,b, and c3(ab+bc+ca)<(a+b+c)^(2)<4(bc+ca+ab) When are the first two expressions equal?

Using determinant : show that the area of the triangle with vertices at (a^2,a^3),(b^2,b^3)and (c^2,c^3) is 1/2(a-b)(b-c)(c-a)(ab+bc+ca) square unit.

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

Find the areas of the triangle whose vertics are (a,bc),(b,ca),(c,ab)

In any triangle ABC,sum a sin(B-C) in equal to ab+bc+ca b.0 c.3abc d.3(a+b+c)

If a, b, c are sides of a triangle, then ((a+b+c)^(2))/(ab+bc+ca) always belongs to

If a, b, c are sides of a triangle, then ((a+b+c)^(2))/(ab+bc+ca) always belongs to

If a, b, c are sides of a triangle, then ((a+b+c)^(2))/(ab+bc+ca) always belongs to

Find the area of triangle formed by the points (a+b+c,a+b+c), ((ab+bc+ca+c^(2))/c,(ab+bc+ca+a^(2))/a) "and" ((ab+bc+ca+a^(2))/c,(ab+bc+ca+b^(2))/a)