Problem / game
First name
Amrit Cassim
School
Hymers College
Country
Age
14
For part 4
1) sin(A+B)=cos(C)
2) For triangles with angles less than pi/2 radians
3) sin((pi/2)-C)=cos(C)
4) Therefore A+B=(pi/2)-C
5) A+B+C=pi/2
6) But A,B and C are angles in a triangle so they add up to pi radians, so
7) There are no triangles with angles less than pi/2 radians that satisfy
8) line 1
9)