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प्रश्न
Devansh proved that ΔABC ∼ ΔPQR using SAS similarity criteria. If he found ∠C = ∠R, then which of the following was proved true?
पर्याय
`(AC)/(AB) = (PR)/(PQ)`
`(BC)/(AC) = (PR)/(QR)`
`(AC)/(BC) = (PR)/(PQ)`
`(AC)/(BC) = (PR)/(QR)`
MCQ
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उत्तर
`bb((AC)/(BC) = (PR)/(QR))`
Explanation:
Given:
△ABC ∼ △PQR
∠C = ∠R
For SAS similarity using ∠C and ∠R, the sides forming these angles must be in the same ratio.
In △ABC, the sides forming ∠C are AC and BC.
In △PQR, the sides forming ∠R are PR and QR.
Therefore, `(AC)/(PR) = (BC)/(QR)`
Rearranging the terms:
`(AC)/(BC) = (PR)/(QR)`
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