Question

Please give the answer to all 3!! thank you for your help.

Answer 1

Answer

a) PQ = 50

b) PC = 18

PY = 27

c) ZC = 6

ZQ = 18

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