Question

describe and correct The error the Centoroid of triangle ABC is at point D in the diagram

Answer 1

ANSWER

(a) DE is the shortest side of the median.

$DE=\frac{1}{3}CE$

(b) DE = 5

EXPLANATION

The centroid is the point of congruence of all the medians of a triangle. The distance from the vertex to the centroid is 2/3 the lenght of the median and the distance from the centroid to the side of the triangle is 1/3 the lenght of the median.

DE is the segment from the centroid to the side of the triangle, so:

$DE=\frac{1}{3}CE$

If CE = 15, then:

$DE=\frac{1}{3}\times15=5$