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प्रश्न
If in two triangles ABC and PQR, `(AB)/(QR) = (BC)/(PR) = (CA)/(PQ)`, then ______.
विकल्प
ΔPQR ~ ΔCAB
ΔPQR ~ ΔABC
ΔCBA ~ ΔPQR
ΔBCA ~ ΔPQR
उत्तर
If in two triangles ABC and PQR, `(AB)/(QR) = (BC)/(PR) = (CA)/(PQ)`, then ΔPQR ~ ΔCAB.
Explanation:
Given, in two ΔABC and ΔPQR,
`("AB")/("QR") = ("BC")/("PR") = ("CA")/("PQ")`
Which shows that sides of one triangle are proportional to the side of the other triangle, then their corresponding angles are also equal, so by SSS similarity, triangles are similar.
i.e., ΔCAB ∼ ΔPQR
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