Question

If point C is the centroid of triangle RST and SD = 21, find SC. show your work.​​

Answer 1

SC = 14 units

Explanation:

Centroid of a triangle refers to the point where it's 3 median intersect. It's the centre point of the triangle.

the point of intersection divides all three median into two parts. the parts are in ratio 2 : 1. The part of the median starting from the vertex to the midpoint is 2/3rd of the median.

SD = 21

SC = 2/3 of 21

= 2/3 × 21

= 14

Answer 2

• SC = 14

Explanation:

Point C is the centroid.

Property of centroid: the medians are divided in 2:1 ratio from the vertices.

• SD = 21
• SC = 2/3*21 = 14