A + 2 triangle = 6 triangles
A + B = 10 triangles
B + C = A + 1 triangles
- A = _____ triangles
- B = _____ triangles
- C = _____ triangles
A + 2 triangle = 6 triangles --- (1)
A + B = 10 triangles --- (2)
B + C = A + 1 triangles --- (3)
(a)
From (1)
A + 2 triangle = 6 triangles
A = 6 triangles - 2 triangle
A = 4 triangles
(b)
Substitute A = 4 triangles into (2).
A + B = 10 triangles
4 triangles + B = 10 triangles
B = 10 triangles - 4 triangles
B = 6 triangles
(c)
Substitute A = 4 triangles and B = 6 triangles into (3).
B + C = A + 1 triangles
6 triangles + C = 4 triangles + 1 triangles
6 triangles + C = 5 triangles
C = 5 triangles - 6 triangles
C = -1 triangles
Answer(s): (a) 4; (b) 6; (c) -1