Respuesta :

Answer:

53 cm

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...

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