Can the three values represent the sides of a triangle? 7, 8, √113

Is this a triangle?

If so, what type?

Pythagorean Triple? (yes/no)

Several paint mixtures are made by mixing blue paint and white paint. paint colors blue paint white paint mixture a 5 cups 12 cups mixture b 6 cups 6 cups mixture c 4 cups 12 cups mixture d 5 cups 6 cups which mixture has the highest ratio of blue paint to white paint