Question

В треугольнике ABC угол C равен 90°. AВ = 15, tgA=2√2/3 .Найдите АС

Answer 1

$9x^2+8x^2=225\ 17x^2=225\ x^2=frac{225}{17}\ x=frac{15}{sqrt{17}}$

$AC=3*frac{15}{sqrt{17}}=frac{45}{sqrt{17}}=frac{45sqrt{17}}{17}$