A + 4 triangle = 6 triangles
A + B = 9 triangles
B + C = A + 8 triangles
- A = _____ triangles
- B = _____ triangles
- C = _____ triangles
A + 4 triangle = 6 triangles --- (1)
A + B = 9 triangles --- (2)
B + C = A + 8 triangles --- (3)
(a)
From (1)
A + 4 triangle = 6 triangles
A = 6 triangles - 4 triangle
A = 2 triangles
(b)
Substitute A = 2 triangles into (2).
A + B = 9 triangles
2 triangles + B = 9 triangles
B = 9 triangles - 2 triangles
B = 7 triangles
(c)
Substitute A = 2 triangles and B = 7 triangles into (3).
B + C = A + 8 triangles
7 triangles + C = 2 triangles + 8 triangles
7 triangles + C = 10 triangles
C = 10 triangles - 7 triangles
C = 3 triangles
Answer(s): (a) 2; (b) 7; (c) 3