There’s not much doubt about what George Washington basketball coach Mike Lonergan feels his team needs. In signing 6-1 guard Miguel Cartagena of Montverde Academy (Fla.) and 6-8 forward Skyler White of Northfield Mount Hermon (Mass.), the Colonials are working to remedy their most glaring weakness from last season – a lack of outside shooting.

“They can both really shoot it and come from a culture of winning,” Lonergan said in a press release. “They’re both very solid perimeter shooters and both played for national championship caliber teams this past season, in addition to their time playing in international competitions.”

Coupled with another excellent shooter, 6-2 guard Nick Griffin (Magruder), who signed in the fall, the trio figure to boost the GW offense. In going 13-17 the Colonials ranked 15th in the 16-team Atlantic 10 in 3-point shooting (27.9 percent) and 14th in free-throw shooting (65.7 percent).

Cartagena, who is from Aibonito, Puerto Rico, played for a Montverde team that finished the season with a victory in the National High School Invitational and the nation’s No. 1 rank by ESPN and USA Today. Representing Puerto Rico in the 2011 FIBA Americas U-16 championship, Cartagena averaged 22.4 points per game, the top figure in the tournament.

White, who is from Clyde Hill, Wash., played two seasons at Northfield Mount Hermon, which captured the national prep championship this year.