Theorem 3 (S.S.S.) Similarity

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If three pairs of corresponding sides are proportional then the two triangles are similar.

In DABC and DPQR,

DABC ~ DPQR

The above three theorems are without proof. Such theorems can be called postulates.

Now, let us compare similar triangles and congruent triangles:

In PQ || BC, AP = 7.2 cm, AC = 9.0 cm, QC = 6.3 cm. Find AB

AB = 9 x

= 24.0 cm

In PQ || BC, AP = 7.2 cm, AB = 3.0 cm, CQ = 2.8 cm, Find AQ.

AQ =

= 4.8 cm

In the given figure, PQ || BC, AB = 4.0 cm, AC = 3.2 cm, AP = 6.0 cm. Find CQ.

= 4.8 cm

CQ = AC + AQ

= 3.2 + 4.8

= 8.0 cm