Respuesta :

Answer:

x=9

Step-by-step explanation:

a²+b²=c²

x²+6²=(√117)²

x²+36=117

x²=81

x=9

Answer:

3[tex]\sqrt{17}[/tex] or 12.37 cm

Step-by-step explanation:

use the Pythagorean Theorem:

6² + [tex]\sqrt{117}[/tex]² = x²

36 + 117 = x²

x² = 153

x = [tex]\sqrt{153}[/tex] which is [tex]\sqrt{9}[/tex][tex]\sqrt{17}[/tex] or 3[tex]\sqrt{17}[/tex]

in decimal form, 'x' is approx 12.37