If in triangle `A B ,cosAcosB+sinAsinBsinC=1.` Show that `a : b : c=1:1:sqrt(2)`

If in triangle A BC ,cosAcosB+sinAsinBsinC=1. Show that a : b : c=1:1:sqrt(2)

In triangle ABC if cosAcosB +sinAsinB sinC=1 then prove that a:b:c=1:1:sqrt2

In a triangle ABC if cosAcosB+sinAsin BsinC= then a : b: c=

In any triangle ABC if sin A sin B sin C+ cos A cos B=1 , then show that a:b:c=1:1: sqrt(2) .

If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC= (sqrt3-1)/8 and sinA.sinB.sinC= (3+sqrt3)/8 The value of tanA+tanB+tanC is (A) (3+sqrt(3)/(sqrt(3)-1)) (B) (sqrt(3)+4/(sqrt(3)-1)) (C) (6-sqrt(3)/(sqrt(3)-1)) (D) (sqrt(3)+sqrt(2)/(sqrt(3)-1))

If A+B+C=3pi/2 then cos2A+cos2B+cos2C=1-4sinAsinBsinC

If in a /_\ ABC, cosA.cosB+sinA.sinB.sinC =1,then (A) A=B (B) C=pi/2 (C) AC=BC (D) AB=sqrt(2) AC

If in a /_\ ABC, cosA.cosB+sinA.sinB.sinC =1,then (A) A=B (B) C=pi/2 (C) AC=BC (D) AB=sqrt(2) AC

In a triangle A B C , a line X Y is drawn parallel to B C meeting A B in X and A C in Y . The area of the triangle A X Y is half of the area of the triangle A B C . X Y divides A B in the ratio of 1 :sqrt(2) (b) sqrt(2) :(sqrt(2)-1) (c) 1 :(sqrt(2)-1) (d) sqrt(2) :sqrt(3)

In Delta ABC, if sin A+sin B+sin B+sin C=1+sqrt(2) and cos A+cos B+cos C=sqrt(2) then the triangle is