Answer:
5[tex]\sqrt{13}[/tex] or 18.03
Step-by-step explanation:
Let's call the unknown leg x
Using the Pythagoras rule
19^2 = 6^2 + x^2
361 = 36 + x^2
subtract 36 from both sides
361 - 36 = x^2
325 = x^2
Take the square root of both sides
[tex]\sqrt{325}[/tex] = [tex]\sqrt{x^2}[/tex]
[tex]\sqrt{25*13}\\[/tex] = x
x = 5[tex]\sqrt{13}[/tex] = 18.03
