Question

help me please!!!!!!!

Answer 1

1st one: c^2=5\sqrt{2}^2+5\sqrt{2}^2=50+50=100, so c=10
2nd one: x^2=8^2/2=32, so x=4\sqrt{2}
3rd one: x=7\sqrt{3}
4th one: x=4\sqrt{2}

Answer 2

$\sin 45 = \frac{5\sqrt{2}}{c}\\ \frac{1}{\sqrt{2}}=\frac{5\sqrt{2}}{c}\\c=5\sqrt{2}\times\sqrt{2} = 5\times2 = 10\\ \\ \\x^2 + x^2 = 8^2\\2x^2=64\\x^2 = 32\\x=\sqrt{32}=4\sqrt{2}\\ \\ \\ \sin60=\frac{x}{14}\\ \frac{\sqrt{3}}{2}=\frac{x}{14}\\2x=14\sqrt{3}\\x=7\sqrt{3}\\ \\ \\ \tan60=\frac{4\sqrt{6}}{x}\\ \sqrt{3}=\frac{4\sqrt{6}}{x}\\x\sqrt{3}=4\sqrt{6}\\x=\frac{4\sqrt{6}}{\sqrt{3}}=\frac{4\sqrt{18}}{3}=4\sqrt{2}$