if ∆ABC - ∆ AB:PQ=2:3 and PR=9cm, then AC
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Step-by-step explanation:
ΔABC∼ΔPQR
AB:PQ=2:3 According to theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the square of their corresponding sides''.
∴
A(ΔPQR)
A(ΔABC)
=
PQ
2
AB
2
=
3
2
2
2
=
9
4
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