problem

a + b + c = 100 a,b,c belongs to natural numbers then howmany triplets (a,b,c) are possible where two elements (say a,b are odd and the third c is even ) and try to solve with more than one method.

problem

In triangle ABC if the angle bisector of angle A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of triangle ABC.

Question of the week

How many maximum tringle can be formed with six matches.can we find some relation between matches and triangle formed.