This question regards a circle inside a triangle, there are 3 parts to the question and i cannot do any of them but i think if i could do part a) then maybe i could do the rest, if somebody could please help me.
Q: A right angled triangle with sides a, b and c where a<b<c contains a circle such that the circle just touches all sides of the triangle. The circle has radius of 1cm.
a) show that ab=a+b+c
b) show that a+b=c+2
c)deduce that the area of the triangle is (a+b-1)
any help would be great, thanks.