Question

Calcule o valor da medida do x de sua hipotenusa

Answer 1

Boa Noite!

x² = (4/√2)² + (3/√2)²
x² = (4²/√2²) + (3²/√2²)
x² = (16/2) + (9/2)
x² = (25/2)
x = √(25/2)
x = 5/√2

Dúvidas?! é só comentar

Answer 2

$a = x\ \ \ \ \ b= \frac{3}{ \sqrt{2}} \ \ \ \ \ c= \frac{4}{ \sqrt{2}} \\ \\ \\a^2=b^2+c^2\\ \\x^2=\Big(\frac{3}{\sqrt{2}} \Big)^2+\Big(\frac{4}{\sqrt{2}} \Big)^2\\ \\x^2=\frac{9}{\sqrt{4}}+\frac{16}{\sqrt{4}} \\ \\x^2=\frac{9}{2}+\frac{16}{2} \\ \\x^2=\frac{9+16}{2}\\ \\x^2=\frac{25}{2}\\ \\x= \sqrt{\frac{25}{2}}\\ \\x= \frac{\sqrt{25}}{\sqrt{2}}\\ \\x= \frac{5}{\sqrt{2}}\\ \\x= \frac{5}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{5\sqrt{2}}{\sqrt{4}}= \frac{5\sqrt{2}}{2}\\ \\ x=\frac{5\sqrt{2}}{2}\ m$