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26.04.2021 •
Mathematics
The same pair of shoes are sold in 2 different stores. The sale price in Store A is 25% off the regular price of $34. The sale price in Store B is 20% off the regular price of $30. What store has the better buy and why
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Ответ:
Step-by-step explanation:
BD is the altitude, it breaks ΔABC into two similar triangles:
ΔABD ~ ΔBCDThe ratios of corresponding sides:
AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108On the other hand:
BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12