Statics Problem 5-13: Reaction of supports for a beam under distributed loading

Statics Practice Problem Solution: Reactions of supports for a beam under uniform (rectangular), trapezoidal and triangular distributed loadings

[@KaiTyquiengco]

It would be 1m. Its properties of triangles specified by laws of physics. Center of gravity is 1/3 the base length of a right triangle

[@notdemomantf2294]

...I mean, the center point of the triangle wouldn't be exactly at 1 unit in. As a right triangle with a side ratio of 1m:100N, exactly half would be at a value of N=225, so as long as the two sides multiply to 450N, it's at half.
With that, 100*x^2 = 450, x^2 = 4.5, root 4.5 = 2.1213, so it is 2.1213 meters away from the center or .8787 away from the right edge.