Triangle abc is similar to triangle pqr, as shown below: two similar triangles abc and pqr are shown. triangle abc has sides ab = c, bc = a, and ac = b. triangle pqr has sides pq = r, qr = p, and pr = q. angle cab is congruent to angle rpq. angle abc is congruent to angle rqp. angle acb is congruent to angle qrp. which ratio is equal to r: c? c: p p: a r: a q: c

p:a

Step-by-step explanation:

given: AB=c, BC=a, CA=b

          PQ=r, QP=p, PR=q

  also , ∠CAB ≅ ∠RPQ, (1)

          , ∠ABC ≅ ∠RQP,(2)

    and, ∠ACB ≅ ∠QRP,(3)

FROM (1), (2) AND (3),

we can say that a=p, b=q, c=r

therefore, the triangles are congruent (S.S.S congruence criteria),

also then, r:c=1

then the ratio equal to r:c, will be p:a ( since p=a and p:a would be =1)    

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step-by-step explanation:

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combine all like terms then its just a 2 step equation