I'll be sure to mark a brainliest!! :))

Answer:
solution,
hypotenuse (h)=10 cm
base(b)=5 cm
perpendicular (p)=?
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {p }^{2} = {h}^{2} - {b}^{2} \\ or \: {p}^{2} = {(10)}^{2} - {(5)}^{2} \\ or \: {p}^{2} = 100 - 25 \\ or \: {p}^{2} = 75 \\ or \: p = \sqrt{75} \\ p = 5 \sqrt{3} \: cm[/tex]
Hope this helps...
Good luck on your assignment...