Question

Answer 1

a: \(BC=\sqrt{4^2+6^2}=2\sqrt{13}\)

\(x=\dfrac{AB^2}{BC}=\dfrac{4^2}{2\sqrt{13}}=\dfrac{8}{\sqrt{13}}\)

\(y=2\sqrt{13}-\dfrac{8\sqrt{13}}{13}=\dfrac{9}{\sqrt{13}}\)

b: y=12^2/18=144/18=8(cm)

x=18-8=10(cm)

c: x=căn 3*7=căn 21(cm)

\(y=\sqrt{x^2+7^2}=\sqrt{21+49}=\sqrt{70}\left(cm\right)\)

d: \(y=\sqrt{13^2+17^2}=\sqrt{458}\)

\(x=\dfrac{13\cdot17}{\sqrt{458}}=\dfrac{221}{\sqrt{458}}\)

e: \(y=\sqrt{9\cdot13}=3\sqrt{13}\)

\(x=\sqrt{4\cdot13}=2\sqrt{13}\)

f: \(x=\dfrac{5^2}{4}=6.25\)

\(y=\sqrt{5^2+6.25^2}=\dfrac{5\sqrt{41}}{4}\)