Center Point

Dividing each numerator by total weight gives the weighted center.

highlighted = computed this step

Center x

The center x coordinate is 6 divided by 6, which equals 1.

\bar{x}=1

The center y coordinate is 12 divided by 6, which equals 2.

\bar{y}=2

The weighted center is (1, 2).

(\bar{x},\bar{y})=(1,2)

Interpretation: C's larger weight pulls the marker upward from the unweighted triangle intuition.

\text{larger weight pulls the balance point}