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GeometryQuestion and Answers: Page 44

Question Number 181852    Answers: 2   Comments: 0

Question Number 181839    Answers: 1   Comments: 5

Question Number 181812    Answers: 5   Comments: 0

Question Number 181783    Answers: 2   Comments: 0

$${one}\:{side}\:{of}\:{a}\:{triangle}\:{is}\:\mathrm{20}\:{cm}.\:{the} \\ $$$${other}\:{two}\:{sides}\:{are}\:{in}\:{ratio}\:\mathrm{1}:\mathrm{3}. \\ $$$$\left.\mathrm{1}\right)\:{what}\:{is}\:{the}\:{maximum}\:{area}\:{of}\:{the} \\ $$$${triangle},\:{if}\:{exists}? \\ $$$$\left.\mathrm{2}\right)\:{what}\:{is}\:{the}\:{maximun}\:{perimeter} \\ $$$${of}\:{the}\:{triangle},\:{if}\:{exists}? \\ $$

Question Number 181766    Answers: 1   Comments: 0

Question Number 181759    Answers: 2   Comments: 1

Question Number 181736    Answers: 1   Comments: 0

Question Number 181711    Answers: 0   Comments: 9

Question Number 181710    Answers: 0   Comments: 0

Question Number 181673    Answers: 4   Comments: 0

Question Number 181651    Answers: 4   Comments: 7

Question Number 181619    Answers: 2   Comments: 1

Question Number 181232    Answers: 3   Comments: 1

Question Number 181201    Answers: 3   Comments: 0

Question Number 181151    Answers: 4   Comments: 0

Question Number 181128    Answers: 0   Comments: 2

Question Number 181125    Answers: 1   Comments: 3

$${Let}\:{the}\:{acute}\:{triangle}\:\Delta{ABC}\:\:{have} \\ $$$${an}\:{outer}\:{circumscribed}\:{circle}, \\ $$$${whose}\:{tangents}\:{at}\:{the}\:{points}\:{B}\:{and}\:{C} \\ $$$${intersect}\:{at}\:{point}\:{P}.\:{Let}\:{D}\:{and}\:{E}\:{be} \\ $$$${the}\:{projections}\:{of}\:{perpendicular} \\ $$$${lines}\:{from}\:{point}\:{P}\:{on}\:{AC}\:{and}\:{AB}. \\ $$$${Prove}\:{that}\:{the}\:{interdection}\:{point}\:{of} \\ $$$${the}\:{heights}\:{of}\:\Delta{ADE}\:{is}\:{the}\:{midpoint} \\ $$$${of}\:{BC} \\ $$

Question Number 181085    Answers: 1   Comments: 3

Question Number 181070    Answers: 2   Comments: 2

Question Number 181055    Answers: 2   Comments: 14

Question Number 181051    Answers: 1   Comments: 0

Question Number 181019    Answers: 1   Comments: 0

Question Number 180998    Answers: 2   Comments: 0

Question Number 180939    Answers: 0   Comments: 2

Question Number 180931    Answers: 0   Comments: 2

Question Number 180927    Answers: 2   Comments: 1

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