Question

Please help me this is geometry and i am so clueless!!!!!

Answer 1

Answer/Step-by-step explanation:

Problem 1:

E is the centroid of the triangle.

Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.

This implies that:

AE = ⅔(AD)

AE = 21

Therefore:

21 = ⅔(AD)

3*21 = 2(AD)

(3*21)/2 = AD

31.5 = AD

AD = 31.5

Problem 2: Apply the centroid theorem. Thus:

DE = ⅓(AD)

DE = 12

Therefore,

12 = ⅓(AD)

12*3 = AD

36 = AD

AD = 36