Answer
a) PQ = 50
b) PC = 18
PY = 27
c) ZC = 6
ZQ = 18
Step-by-step explanation
Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.
Part a
X is the midpoint of PQ. SoPX = XQ.
If PX = 25,
then PQ = 2PX
PQ = 2×25
PQ = 50
Part b
The centroid is alway two thirds away from the vertex.
Also PC = twice CY
PC = 2×9
PC = 18
So, if CY = 9, then PY = 3 × 9
PY = 27
Part c
(i) The centroid is alway two thirds away from the vertex.
If ZC = 12, then CZ =(1/2)QZ
CZ = (1/2) × 12
CZ = 6
(ii) The centroid is alway two thirds away from the vertex.
So, if CZ = 6, then QZ =3 CZ
QZ = 3×6
QZ = 18