Trignometric Ra...

If in a triangle  ABC, (s −a) (s −b) = s (s −c), then  angle C is equal to

if A = 45,B = 75, then a+c √2 is equal to,

The angles of a triangle are as 1 : 2 : 7, then ratio of greatest side to least side is

If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is

There exists a triangle ABC satisfying the conditions

In a  ΔABC, (b +c) cos A + (c + a) cos B + (a + b) cos C is equal to

If the angles of a triangle ABC are in A.P., then

The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is

The area of a triangle is  80cm² and its perimeter is 8 cm. The radius of its inscribed circle is

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

If a = 4, b = 3 and A = 60^∘ , then c is a root of the equation

If  b² +c²   = 3a² , then cot B + cot C - cot A =

If the sides of a triangle be 2x + 1, x² - 1 and  x²  + x  + 1, then the greatest angle is

If in a triangle ABC, acos² (c/2) + ccos² (A/2) = 3b/2, then its sides a, b, c are in

In a  ΔABC, if a sin A = b sin B then the triangle is

If in a  ΔABC, a cos A = b cos B, then the triangle is

In a  ΔABC, is equal to  

In a triangle ABC, a = 2b and  ∠A = 3 ∠B then angle A is

In a triangle ABC, AD is the median A to BC, then its length is equal to

If cos A + cos B = , then the sides of the triangle ABC are in

ABC is an equilateral triangle of each side a (> 0). The inradius of the triangle is

In any  ΔABC, the expression (a + b + c) (a + b –c) (b + c –a) (c + a –b) is equal to

In any  ΔABC, if C =90^∘ , then tan B/2  is equal to