"Predicting the Thirty-year Risk of Cardiovascular Disease: The Framingham Heart Study" (http://circ.ahajournals.org/content/119/24/3078.abstract) reported that triglycerides were not statistically significant when added to a model that already contains total and HDL cholesterol:
"Standard CVD risk factors (male sex, age, SBP, antihypertensive treatment, total and HDL cholesterol, smoking and diabetes) were highly significant (0.01 level) in the multivariable model. DBP and triglycerides were not statistically significant and inclusion of LDL in place of total cholesterol did not improve model performance."