SASMO 2014 Secondary 4 (Grade 10) Contest Question 23

The vertices of triangle ABC are A(9,0), B(0,6), and C(0,0). Points P and Q are
on AB so that AP = PQ = QB. Find the value of CP? + cq?.
fsa 1 a a = Seer eet SESS = es j eee SUS = aa Saeaikesoat
eon ere eS +o
rr et lL be See ee
SS. Se Se) eee Soa Eee
Se PSS Eee See | Lee
SS Sees ee es eS eS
Lr SS ft GF
ft fF #F. — _
Ss Se ee a es SSeS Ss
Se a | oe
SS SSS RSS PS | SSeS
Se Soe) Ee ESS | like
SSS SSS ES SSse IS — a

=]

C