Question

Name the criteria of similarity by which following triangles are similar
S.S.S
S.A.S
A.A.A.
A.A.​

Answer 1

Answer:

it triangle similar form sss criteria

Answer 2

In the given triangles,

• AC ≠ PR
• AB ≠ PQ

• ∠ACB ≠ ∠PRQ

Therefore the triangles are not similar by SAS criteria.

Moreover,

• ∠ABC ≠ ∠RPQ
• ∠ACB ≠ ∠PRQ

Therefore the triangles are not similar by AA criteria.

Taking the ratios of the sides that is,

$\frac{AC}{PR}=\frac{3}{4.5}=0.66$

$\frac{BC}{QR}=\frac{4}{6}=0.66$

The ratio of sides is equal.

Hence the triangles are similar by the SSS criterion.