Respuesta:
Explicación paso a paso:
a² + ([tex]\sqrt{2}[/tex])² = (3[tex]\sqrt{2}[/tex])²
a² + 2 = 3². 2
a² = 18-2 = 16
a = 4 resp (C)
x² = 5² + 12² = 25 + 144
x² = 169 = 13²
x = 13
b² + 15² = 17²
b² = 17² - 15² = (17+15)(17-15) = 32*2 = 64
b² = 8²
b = 8
suma de catetos horizontales
[tex]x = \sqrt{5^{2}-3^{2} } +\sqrt{13^{2} -5^{2} }[/tex]
x = 4 + 12
x = 16
hipotenusa de catetos [tex]\sqrt{3}[/tex] y [tex]\sqrt{2}[/tex]
h² = ([tex]\sqrt{3}[/tex])² + ([tex]\sqrt{2}[/tex])² = 3 + 2
h = [tex]\sqrt{5}[/tex]
hipotenusa x
x² =([tex]\sqrt{5}[/tex])² + (3)² = 5 + 9
x = [tex]\sqrt{14}[/tex]
