A + 4 triangle = 10 triangles
A + B = 7 triangles
B + C = A + 6 triangles
- A = _____ triangles
- B = _____ triangles
- C = _____ triangles
A + 4 triangle = 10 triangles --- (1)
A + B = 7 triangles --- (2)
B + C = A + 6 triangles --- (3)
(a)
From (1)
A + 4 triangle = 10 triangles
A = 10 triangles - 4 triangle
A = 6 triangles
(b)
Substitute A = 6 triangles into (2).
A + B = 7 triangles
6 triangles + B = 7 triangles
B = 7 triangles - 6 triangles
B = 1 triangles
(c)
Substitute A = 6 triangles and B = 1 triangles into (3).
B + C = A + 6 triangles
1 triangles + C = 6 triangles + 6 triangles
1 triangles + C = 12 triangles
C = 12 triangles - 1 triangles
C = 11 triangles
Answer(s): (a) 6; (b) 1; (c) 11