Respuesta :
Answer:
12
Step-by-step explanation:
Pythagorean theorem:
a^2 + b ^2 = c ^2
side^2 + side^2 = hypotenuse^2
5^2 + x^2 = 13^2
25 + x ^2 = 169
subtract 25
x^2 = 144
√ each side
x= √144 = 12
Answer:
12 cm
Step-by-step explanation:
let call hypotenuse a
and the other 2 sides are b, c respectively
have a = 13 cm and b = 5 cm
Follow Pythagorean theorem for Right triangle
[tex]a^{2} = b^{2} +c^{2} \\c^{2} = a^{2} - b^{2}[/tex]
[tex]c^{2} = 13^{2} -5^{2} \\c^{2} = 144\\c = 12[/tex]
The length of third side is 12 cm
