Answer: x = [tex]4\sqrt{13}[/tex]
Step-by-step explanation:
We can use the Pythagorean theorem to help us solve, where a and b are the legs and c is the hypotenuse.
Given:
a² + b² = c²
Substitute known values:
9² + x² = 17²
Square:
81 + x² = 289
Subtract 81 from both sides:
x² = 208
Square root of both sides:
x = [tex]\sqrt{208}[/tex]
Divide into factors:
x = [tex]\sqrt{16*13}[/tex]
Square root of 16:
x = [tex]4\sqrt{13}[/tex]
