If ` A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.)` Prove that ` A B C` is right-angled isosceles.

If ABC,sin C+cos C+sin(2B+C)-cos(2B+C)=2sqrt(2) Prove that ABC is right-angled isosceles.

In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isosceles.

In a A B C ,if|1 1 1 1+cosA 1+cosB 1+cosC cos^2A+A cos^2B+cosB cos^2C+cosC|=0 show that A B C is an isosceles.

If cos B=(sin A)/(2sin C) then prove that the triangle is isosceles.

If in a Delta A B C ,cos^2A+cos^2B+cos^2C=1, prove that the triangle is right angled.

In a DeltaABC , if 4 cos A cos B + sin 2A+sin 2B+sin 2C=4 , then DeltaABC is a. right angle but not issosceles b. isosceles but not right angled c. right angle isosceles d. obtuse angled

If in a Delta ABC, c(a+b) cos B//2 = b(a+c) cos C//2 , prove that the triangle is isosceles.

A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , prove that A B C is right triangle.

If sinA=sin^2Ba n d2cos^2A=3cos^2B then the triangle A B C is right angled (b) obtuse angled (c)isosceles (d) equilateral