Triangular Normal Probabilities

Here, I wanted to show the Geometric Relationship between deviation and z values. 1) I get Probabilities by Dividing the area, RV(sigma) - Pink Area by Sigma(1), giving me the Same Probabilities as the Normal Curve 2) RV(sigma) gives you more information than the Normal Curve. ( The Mathematicians, should be looking at my equation!) 3) I feel I have explained and accounted for the inner workings of how the Normal Curve Probabilities relate to each other in a 'visual' fashion'?