The ratio of the area of triangle A to the area of triangle B to the area of triangle C is 6:8:9. The area of triangle B is 176 cm2. What is the total area of the three triangles?
Let the area of triangle A be 6x.
Then, the area of triangle B is 8x.
And the area of triangle C is 9x.
Since the area of triangle B is 176 cm^2, then 8x = 176.
Hence, the value of x is 176/8 = <<176/8=22>>22.
Therefore, the total area of the three triangles is 6x + 8x + 9x = 23x = 23(22) = 506 cm^2. Answer: \boxed{506}.