A circle of radius 4cm is inscribed in ` A B C ,` which touches the side `B Ca tDdot` If `B D=6c m ,D C=8c m` then tan the triangle is necessarily acute angled `tanA/2=4/7` perimeter of the triangle `A B C` is `42c m` area of ` A B C` is `84c m^2`

A circle is inscribed in a triangle A B C touching the side A B at D such that A D=5,B D=3,if/_A=60^0 then length B C equals. 9 (b) (120)/(13) (c) 13 (d) 12

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

The area of a triangle A B C is equal to (a^2+b^2-c^2) , where a, b and c are the sides of the triangle. The value of tan C equals

A rectangle of the greatest area is inscribed in a trapezium A B C D , one of whose non-parallel sides A B is perpendicular to the base, so that one of the rectangles die lies on the larger base of the trapezium. The base of trapezium are 6cm and 10 cm and A B is 8 cm long. Then the maximum area of the rectangle is 24c m^2 (b) 48c m^2 36c m^2 (d) none of these

If in a triangle A B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) , then prove that the triangle is right angled.

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

In a triangle A B C , the altitude from A is not less than B C andthe altitude from B is not less than A C . The triangle is right angled (b) isosceles obtuse angled (d) equilateral

If a,b,c are sides of a triangle and a^(2) + b^(2) = c^(2) , name the type of triangle.

The radii r_1, r_2,r_3 of the escribed circles of the triangle A B C are in H.P. If the area of the triangle is 24 c m^2a n d its perimeter is 24cm, then the length of its largest side is 10 (b) 9 (c) 8 (d) none of these

If the sines of the angles A and B of a triangle ABC satisfy the equation c^2x^2-c(a+b)x+a b=0 , then the triangle a)acute angled b)right angled c)obtuse angled d) sinA+cosA = ((a+b))/c