Question

3. If D is the centroid of PQR, PA = 17 , BD = 9, and DQ = 14 , find each missing measure .

Answer 1

Answer: a) AR = 17

b) PR = 34

c) DR = 18

d) BR = 27

e) AD = 7

f) AQ = 21

Explanation:

a) AR = PA = 17

b) PR = 2 · PA = 2 · 17 = 34

c) DR = 2 · BD = 2 · 9 = 18

d) BR = BD + DR = 9 + 18 = 27

e) AD = (1/2) · DQ = (1/2) · 14 = 7

f) AQ = AD + DQ = 7 + 14 = 21