Question

If PB = 6, what is SB?

Answer 1

SB = 4

Explanation:

SB = 2/3 BP

SB = 2/3 (6)

SB = 4

Answer 2

SB = 4

Explanation:

The figure is the intersection of the medians of this triangle. The medians of a triangle bisect the sides of the triangle. The intersection of the medians is called the centroid. In this case, the centroid of this figure would be S.

In fact, the distance from a vertex to the centroid of the triangle is 2/3 of the distance from said vertex to the vertex's opposite side.

Create the equation SB = 2/3(PB).

.....................................SB = 2/3(6)

....................................SB = 12/3

...................................∴SB = 4