If `A=30^0, a=7,a n db=8` in ` A B C ,` then find the number of triangles that can be constructed.

If b=3,c=4, and B=(pi)/(3), then find the number of triangles that can be constructed.

Three vertices of a convex n sided polygon are selected.If the number of triangles that can be constructed such that none of the sides of the triangle is also the side of the polygon is 30, then the polygon is a

Find the value of C if in a triangle S=13,a=8, and b=7.

In a triangle /_a b c ,\ /_A=50^0,\ /_B=60^0a n d\ /_C=70^0 . Find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

If A, B and C are three non-empty sets such that n(A nn B nn C) = 10 and n(A DeltaB) = n(B Delta C) = n(C Delta A) = 60 , then find the number of elements in A uu B uu C .

If a number n is divisible by 8 and 30, then the smallest number of divisors that n has is

Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Find the point P in the interior of the triangle such that P B C is an equilateral triangle.