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Alex15251
@Alex15251
July 2022
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в треугольнике abc угол c равен 90°. ab=3√17, ac=3. найдите tga
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borisovayuliya
в треугольнике ABC угол C равен 90°. AB=3√17, AC=3. найдите tga
tg∠A=CB/AC
CB=√(AB²-AC²) =√(9·17-9)=3·4=12
tg∠A=12/3=4
0 votes
Thanks 1
TARTILLO
Verified answer
Пусть АС=х
по т. Пифагора СВ=√(225-х²)
tgA=CB/AC
√(225-х²)/x=3/4
√(225-х²)=3x /4
225-х²=9х² /16
25х²=3600
х²=144
x=12
АС=12
0 votes
Thanks 2
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Answers & Comments
tg∠A=CB/AC
CB=√(AB²-AC²) =√(9·17-9)=3·4=12
tg∠A=12/3=4
Verified answer
Пусть АС=хпо т. Пифагора СВ=√(225-х²)
tgA=CB/AC
√(225-х²)/x=3/4
√(225-х²)=3x /4
225-х²=9х² /16
25х²=3600
х²=144
x=12
АС=12