Question

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

1.       In triangle ∆PQR, C is the centroid.

 

a.       If CY = 10, find PC and PY

 

b.       If QC = 10, find ZC and ZQ

 

 

c.       If PX = 20, find PQ

Answer 1

The centroid C divides the length of each median PY, ZQ, and XR into the ratio of 2:1 as shown in the diagram below

a) CY = 10
    PC = 2×10 = 20
    PY = 20+10 = 30

b) QC =10
    ZC = 10÷2 = 5
    ZQ = 10+5 = 15

c) PX = 20
    PQ = 2×20 = 40