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प्रश्न
If △ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm, then length QR is equal to ________.
पर्याय
10 cm
15 cm
`20/3` cm
30 cm
MCQ
रिकाम्या जागा भरा
उत्तर
If △ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm, then length QR is equal to 15 cm.
Explanation:
△ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm
△ABC ∼ △PQR
`(AB)/(PQ)` = `(BC)/(QR)` ...(The ratio of corresponding sides of similar triangles is equal.)
AB × QR = BC × PQ
AB × QR = 10 cm × `3/2` AB
QR = `30/2` cm
∴ QR = 15 cm
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