what's the value of "x"? Show all your work.

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